College Algebra

Cover College Algebra
College Algebra
Charles H Charles Hamilton Ashton
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varies as y" KINDS OF VARIATION 85. 1. If the ratio of two variables is constant, the variables are said to be in direct variation.
Thus, when m is a constant, if - = m, x varies directly as y; OT xccy. ^ Digitized by VjOOQ IC 144 COLLEGE ALGEBRA [Ch. IX, § 86 The height of a column of mercury in a thermometer is known to vary as the temperature. If H and H' represent the different heights of the mercury when the temperatures are respectively Tand T', ^oc T; or, if; ir'= T; V.
2. If the ratio o
...f a variable to the reciprocal of a second variable is constant, the variables are said to be in inverse variation.
Thus, when m is a constant, if » : - = m, x varies inversely 1 y OS y, OT XCC-.
y The volume of a gas is known to vary inversely as the pressure. If V and F' represent the volumes of a gas under the respective pressures P and P', F oc — ; or, F : F' = — : ~ which may be more conveniently written F : V'^P* :P.
3. If the ratio of a variable to the product of two other variables is a constant, the first variable is said to be in joint variation with the other two variables.


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