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Topic: Direct proportion

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	Insights Into Algebra 1 . Workshop 7
		A direct variation is a situation in which two quantities -- such as hours and pay, or distance and time -- increase or decrease at the same rate.
		The constant is the constant of proportionality and the ratio is a direct proportion.
		Two objects that vary directly are also said to be "directly proportional." It should be noted that the graph of a direct variation, or a direct proportion, will always contain the origin (0, 0); conversely, if a line does not contain the origin, it is not a direct proportion.
	www.learner.org /channel/workshops/algebra/workshop7 (794 words)

	The Daily, Tuesday, May 17, 2005. Foreign direct investment
		Direct investment is a category in the financial account of the international investment position, which refers to investment of a resident entity in one country obtaining a lasting interest in an enterprise resident in another country.
		In the Canadian statistics, direct investment is measured as the total value of equity, net long-term claims and net short-term claims of non-bank enterprises held by the enterprise across the border.
		At the end of 2004, foreign direct investment assets were mainly in the finance and insurance industry (45%), in the energy industry (11%) and in the metallic minerals industry (11%).
	www.statcan.ca /Daily/English/050517/d050517a.htm (1055 words)

	The Daily, Wednesday, March 26, 2003. Foreign direct investment
		Direct investments (asset and liability) are investments through which investors in an economy acquire a significant influence over the management of a business operating in another economy.
		The growth in the foreign direct investment position in Canada was partly due to acquisitions by American interests of Canadian companies, mostly in the energy and mining sectors early in the year.
		At the end of 2002, the direct investment positions of foreign investors were mainly in the finance and insurance sector (19.2%) and the energy sector (16.2%).
	www.statcan.ca /Daily/English/030326/d030326a.htm (859 words)

	unit02-sect02-les02-knowa (Site not responding. Last check: 2007-10-23)
		Direct proportions are normally written as y = mx where x and y are the two quantities in proportion and m is the common ratio.
		Examples of quantities in direct proportion include: - wages and #hours worked - commissions and quantity of goods sold - amount of water in the tub and time the tap has been left on - distance and time (for uniform motion) - weight and mass.
		Inverse proportions are normally written as xy = c or as y = c/x, where x and y are the two quantities in inverse proportion and c is a constant.
	www.cdli.ca /courses/phys2204/unit02/section02/lesson02/2-know-a.htm (383 words)

	CATHOLIC ENCYCLOPEDIA: Analogy
		Two things are related by a direct proportion of degree, distance, or measure: e.g., 6 is in direct proportion to 3, of which it is the double; or the healthiness of a remedy is directly related to, and directly measured by, the health which it produces.
		Or, the two objects are related one to the other not by a direct proportion, but by means of another and intermediary relation: for instance, 6 and 4 are analogous in this sense that 6 is the double of 3 as 4 is of 2, or 6:4::3:2.
		As human knowledge proceeds from the data of the senses directed and interpreted by reason, it is evident that man cannot arrive at a perfect knowledge of the nature of God which is essentially spiritual and infinite.
	www.newadvent.org /cathen/01449a.htm (1767 words)

	@CHAPTER TITLE = 6 (Site not responding. Last check: 2007-10-23)
		The Constitution of the United States denied the federal government the power of imposing direct taxes that were not apportioned, or allocated, to the states in direct proportion to population.
		(Recall that a direct tax is one for which the burden of the tax falls on the taxpayer.) The federal income tax is a direct tax.
		Direct personal taxes are severely intrusive of privacy, and pose a substantial threat to individual liberty.
	www.foundation.bw /VAT6.htm (1206 words)

	proportion
		If A and B are in direct proportion, then as one grows bigger the other also grows bigger by the same proportion (or ratio).
		The shape of the graph is typical of an inversely proportional relationship.
		Many laws of science relate quantities that are proportional (for example, Boyle's law).
	www.tiscali.co.uk /reference/encyclopaedia/hutchinson/m0025342.html (495 words)

	OvrForm
		Example 2: You could set up a proportion comparing the number of people working on a project to the time it takes to complete the project.
		To be successful using proportions you must be able to do two things.
		Distinguish between a direct proportion and an inverse proportion.
	www.swtc.edu:8082 /courses/generalmath/TipsOvr/OvrForm.htm (467 words)

	[No title] (Site not responding. Last check: 2007-10-23)
		This is especially evident in the states, where the proportion of institutions registered to lobby has increased relative to associations (such as trade associations and municipal leagues, whose members are institutions) and to membership groups (such as Common Cause, whose members are individual citizens).
		Indeed, the institutions’ proportion of state interest communities grew from 39.55 percent in 1980 to 49.02 percent in 1990 and to 57.51 in 1997 (Gray and Lowery, 1996, 2001).
		Direct lobbying by institutions could equally as well suppress the formation and/or survival rates of specialist associations, because they pose options that are more specifically competitive with direct lobbying.
	www.unc.edu /polisci/lowery_docs/competitive_exclusion.doc (11650 words)

	Ratio - Inverse Proportion (Site not responding. Last check: 2007-10-23)
		In previous activities, all the proportions that you studied were a special type of proportion called a direct proportion.
		In direct proportions, when one row of a table shows that the proportion gets larger, the numbers in the other row or rows get "proportionally" larger.
		However, the proportion must be set up much differently to account for the fact that one term is increasing while the other is decreasing.
	www.indiana.edu /~atmat/units/ratio/ratio_r7.htm (324 words)

	Notebook
		(of a proportion) containng terms of which an increase (or decrease) in one results in an increase (or decrease) in another: a term is said to be in direct proportion to another term if one increases (or decreases) as the other increases (or decreases).
		appearing to move on the celestial sphere in the direction of the natural order of the signs of the zodiac, from west to east.
		Direct suggests also giving explanations or advice; the emphasis is not on the authority of the director, but on steps necessary for the accomplishing of a purpose.
	www.noteaccess.com /DIMENSIONS/1cDirection.htm (676 words)

	Chemistry 103 Proportions (Site not responding. Last check: 2007-10-23)
		This problem was an example of direct proportion; that is, there is a direct proportion between the number of hours worked and the pay received.
		The sciences are filled with examples of direct proportions: the amount of heat given off is directly proportional to the amount of substance burned.
		The length l and the frequency are inversely proportional.
	web.uccs.edu /SLC/modules/chem103/proportions.htm (1899 words)

	So_far
		The direct proportion is a special case of the linear relationship.
		The graph of a direct proportion is always linear and it always passes through the origin.
		With a direct proportion, one variable is always some multiple of the other.
	www.dl.ket.org /physics/companion/ThePC/compan/Graphing/so_far.htm (575 words)

	Teagasc - Project Report - 4656 - The Impact of Direct Payments on Farm Income Distribution
		Evolution of Subsidies in EU Direct income payments for agriculture are defined to cover all recurring non-market payments made directly from public authorities' budgets to individual farmers that have the effect of increasing farmers' incomes [OECD:1994:1].
		Data available from the 1996 NFS on the contribution of selected direct payments to aggregate farm income is presented for 1996 as well as a measure of their individual effects (concentration coefficient) on the distribution of total income.
		The Concentration Coefficient, measured according to the concentration curves showing the distribution of direct payments (which is the corollary to the Gini Coefficient for Lorenz curves) fell from.6277 to.5457 in the period and is indicative of a substantial reduction in inequality in the period.
	www.teagasc.ie /research/reports/ruraldevelopment/4656/eopr-4656.htm (3165 words)

	Ratio - Inverse Proportion
		Because these are all direct proportions, both either increase together or decrease together.
		This table of weight and distance is not of direct proportions because as weight increases, distance decreases (distance would increase if these were directly proportional).
		At this point, you should have realized that in an inverse proportion, the two terms of each ratio (the numerator and denominator if the ratio is written as a fraction) always multiply to give the same value.
	www.indiana.edu /~atmat/units/ratio/ratio_t7.htm (660 words)

	MathsNet AS/A2 Mathematics Background knowledge
		Two variable are in direct proportion to one another if they are always in the same ratio.
		Values that are in direct proportion are often displayed in a table.
		In this case y is proportional to the square of x, y
	www.mathsnet.net /asa2/c1dirpro.html (181 words)

	Science 122 Lab 3 Graphs & Proportion
		The constant of proportion of a linear relationship is the same number as the slope of the graph that plots the relationship.
		Definition: constant of proportion - the constant value of the ratio of two proportional quantities x and y; usually written y/x = k or y = kx, where k is the constant of proportion.
		In this example we would state the relationship as: The area is proportional to the square (second power) of the radius.
	honolulu.hawaii.edu /distance/sci122/SciLab/L3/L3.html (1780 words)

	Insights Into Algebra 1 . Workshop 7
		Point out that this is not a direct variation; it's not linear, and it does not pass through the origin.
		The graph of a direct variation contains the origin (0, 0) and is linear; that is, it has a constant rate of change.
		is constant in a direct proportion; direct proportion implies that the quotient of variables is constant.
	www.learner.org /channel/workshops/algebra/workshop7/lessonplan2b.html (898 words)

	Proportion Problems
		Proportion problems are word problems where the items in the question are proportional to each other.
		They are two main types of proportional problems: Directly Proportional Problems and Inversely Proportional Problems.
		Inversely Proportional questions are similar to directly proportional problems, but the difference is that when x increase y will decrease and vice versa - which is the inverse proportion relationship.
	www.onlinemathlearning.com /proportion-problems.html (355 words)

	BISAnet.org: BISM
		In NTM 04-72 the NASD specifically rejected the idea that broker-dealer of record changes for direct held mutual funds and variable annuities could be treated the same as the transfer of brokerage accounts, via a negative response letter process, at the termination of a financial institutions networking relationship with a broker-dealer.
		Therefore, the only means available to change the broker-dealer responsible for a direct held mutual fund or variable annuity position is by prior affirmative approval from each customer.
		While this position is of limited use in changing networking relationships, it does align the transfer of direct mutual fund and variable annuity positions with the more flexible treatment available for brokerage accounts transfers provided in NTM 02-57.
	www.bisanet.org /bism/2004/maas.html (816 words)

	Lesson Plans
		Say to the class that some direct relationships are proportional, or direct proportions.
		Explain to students that when direct relationships go up or down by a multiplier, the direct relationship is proportional and called a direct proportion.
		Once the proportion is written, have students calculate the weight to the nearest tenth of a pound.
	www.thirteen.org /edonline/ntti/resources/lessons/m_relative/b.html (1899 words)

	Arithmetic unit - Patent 5924050
		An arithmetic unit according to claim 3, further comprising a frequency detecting circuit for detecting sequentially a frequency of said input voltage, which is in direct proportion to said voltage of said measurement system, and for supplying information of said frequency to said delay circuit.
		An arithmetic unit according to claim 11, further comprising a frequency detecting circuit for detecting sequentially a frequency of said input voltage, which is in direct proportion to said voltage of said measurement system, and for supplying information of said frequency to said delay circuit.
		According to the above configuration, respective input voltages which are in direct proportion to voltage and current of a measurement system are converted into respective 1 bit codes by virtue of the first 1-bit A/D converter and the second 1-bit A/D converter.
	www.freepatentsonline.com /5924050.html (3567 words)

	[No title]
		varies in total from one period to the next in direct proportion to the time elapsed.
		varies from one period to the next in direct proportion to the time elapsed.
		decrease per unit in direct proportion to decreases in activity volume.
	www.cob.ohio-state.edu /~bentz_1/212/quiz/Behavior.rtf (722 words)

	AAP FOPE II Project: Summary of Survey Findings: Infectious Diseases
		On average, nearly one half of the total time spent in professional activities per week by respondents is devoted to direct patient care, with most of their remaining time devoted to teaching, administration, and research.
		Two thirds of all respondents spend some of their direct patient care time in primary care pediatrics; on average they spend one third of their direct patient care time providing such care.
		Certified (or eligible) infectious diseases physicians are less likely to spend direct patient care time in primary care pediatrics (61.7%), and the proportion of direct patient care time spent is 41.8%, vs. the proportion of direct patient care time spent in primary care pediatrics by those not certified (92.4%).
	www.aap.org /profed/infecdis.htm (745 words)

	unit04-sect01-les01-knowa (Site not responding. Last check: 2007-10-23)
		A direct proportion is one in which the quotient of the two quantities is a constant.
		If two quantities are in direct proportion than an increase in one is accompanied by an increase in the other.
		The graph of the relationship between two quantities that are inversely proportional is a curved line called a hyperbola.
	www.cdli.ca /courses/phys2204/unit04/section01/lesson01/2-know-a.htm (246 words)

	Direct Proportion
		That is, when two quantities both change by the same factor, they are in direct proportion.
		Two quantities, A and B, are in direct proportion if by whatever factor A changes, B changes by the same factor.
		states that the acceleration of an object is in direct proportion to the force on the object.
	id.mind.net /~zona/mstm/physics/mechanics/forces/directProportion/directProportion.html (607 words)

	ThisNation.com--Thursday July 12, 1787
		Morris moved to add to the clause empowering the Legislature to vary the Representation according to the principles of wealth and number of inhabts.
		a "proviso that taxation shall be in proportion to Representation".
		whole proposition; as proportioning representation to direct taxation and both to the white and 3/5; of fl inhabitants, and requiring a census within six years--and within every ten years afterwards.
	www.thisnation.com /library/madison/july-12.html (1571 words)

	Direct and Inverse Proportion - Eduseek (Site not responding. Last check: 2007-10-23)
		Using Proportion and Proportionality - A lesson in using proportion and proportionality
		Direct Proportion - An introduction to direct proportion
		Inverse Proportion - An introduction to inverse proportion
	www.eduseek.com /navigate.php?ID=7864 (75 words)

	direct
		History is directed by a small number of great men and women.
		She directed all her energies toward the accomplishment of the work.
		(of a proportion) containing terms of which an increase (or decrease) in one results in an increase (or decrease) in another: a term is said to be in direct proportion to another term if one increases (or decreases) as the other increases (or decreases).
	www.infoplease.com /dictionary/direct (385 words)

	National Institute for Direct Instruction
		Direct Instruction (DI) is a model for teaching that emphasizes well-developed and carefully planned lessons designed around small learning increments and clearly defined and prescribed teaching tasks.
		The National Institute for Direct Instruction (NIFDI) is a not-for-profit corporation dedicated to providing school districts with a solid training program and approach for the implementation of DI in districts, schools and classrooms.
		But where a significant number of staff and faculty members believe the responsibility for student progress lies with them, and that their ability to teach effectively has a direct impact on students’ abilities to learn successfully, there is a great likelihood that Direct Instruction can have an important positive impact on all concerned.
	www.nifdi.org (1584 words)

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