Question

Assume that y varies directly as x. If y= -15 when x=5, what is the constant of variation?

Answer 1

k = -3

Explanation:

Given

Variation: Direct

y = -15 when x = 5

Required

Find the constant of variation

A direct variation is represented as:

y = kx

Where

k = constant of variation

Substitute values for x and y

-15 = k * 5

Multiply both sides by ⅕

⅕ * -15 = k * ⅕ * 5

-3 = k * 1

-3 = k

k = -3

Hence, the constant of variation is -3