Glencoe Math: Course 2, Volume 1
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Glencoe Math: Course 2, Volume 1 View details
9. Direct Variation
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Exercise 11 Page 86

What is the form of a direct variation equation?

Equation: y= 14x
Solution: x=24

Practice makes perfect
Functions where y varies directly with x — direct variation equations — follow a specific format. y= kx In this form, k≠ 0. By substituting the given values for x and y into the equation, we can determine the constant of variation, k.
y=kx
6=k( 24)
â–Ľ
Solve for k
k(24)=6
k=6/24
k=1/4
Now that we have the constant of variation, we can write the function. y= 1/4x With this equation, we can find any value of x or y when we are given the other. In this case, we are looking for x when y=7.
y=1/4x
7=1/4x
â–Ľ
Solve for x
7=1/4x
7* 4=1/4x * 4
28=x
x=24
For the equation y= 14x, when y=7, the value of x is 24.