1310-Notes-Sec-33

# 1310-Notes-Sec-33 - Math 1310 Section 3.3 Variation Youll...

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Math 1310 Class Notes – Section 3.3, Page 1 of 4 Math 1310 Section 3.3 Variation You’ll be asked to solve some problems involving functions using variation. We’ll consider three types of variation. Variation formulas Direct variation : We say y varies directly as x , or y is directly proportional to x , if , kx y = where k is a constant ( 29 . 0 k Inverse variation : We say y varies inversely as x , or y is inversely proportional to x , if , x k y = where k is a constant ( 29 . 0 k Joint variation : We way y varies jointly as x and z , or y is jointly proportional to x and z , if , kxz y = where k is a constant ( 29 . 0 k In each instance above, k is called the constant of proportionality. You’ll be asked to find one (or more) of three things: a formula that corresponds to a given statement the constant of proportionality, k a value for one variable, given other values Example 1: Suppose y is directly proportional to x and 4 = x when 6 = y . Write a formula to express the given statement and find the constant of proportionality.

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Math 1310 Class Notes – Section 3.3, Page 2 of 4
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## This note was uploaded on 02/22/2012 for the course MATH 1310 taught by Professor Marks during the Summer '08 term at University of Houston.

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1310-Notes-Sec-33 - Math 1310 Section 3.3 Variation Youll...

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