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1310-Notes-Sec-33-big-filled

1310-Notes-Sec-33-big-filled - Math 1310 Section 3.3...

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Math 1310 Class Notes – Section 3.3, Page 1 of 7 Math 1310 Section 3.3 Variation (Proportions) 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 , y kx = where k is a constant ( 0 . k Inverse variation : We say y varies inversely as x , or y is inversely proportional to x , if , k y x = where k is a constant ( 0 . k Joint variation : We way y varies jointly as x and z , or y is jointly proportional to x and z , if , y kxz = where k is a constant ( 0 . k In each instance above, k is called the constant of proportionality.
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Math 1310 Class Notes – Section 3.3, Page 2 of 7 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 3 of 7
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