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Suppose y varies directly with x, and y = 13 when x = 4. What direct variation equation relates x and y? What is the value of y when x = –6?

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Answer:

direct variation equation: y = 13/4x

y = -19.5 when x = -6

Explanation:

y = kx where 'k' is the constant to proportionality

13 = 4k

k = 13/4

equation: y = 13/4x

plug in -6 for 'x' to find value of 'y'

y = 13/4(-6)

y = -19 1/2

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