Question

If x varies directly as y, and x is 10 when y is 150, find the constant of variation. A. StartFraction 1 Over 150 EndFraction c. StartFraction 1 Over 15 EndFraction b. StartFraction 1 Over 1500 EndFraction d. One-fifth Please select the best answer from the choices provided A B C D

Answer 1

c. StartFraction 1 Over 15EndFraction

= 1/15

Explanation:

If x varies directly as y

This is expressed as:

x ∝ y

Constant of variation = k

Hence,

x = ky

To find k, divide both sides by y

x/y = ky/y

k = x / y

x is 10 when y is 150

Therefore,

k = 10/150

k = 1/15

Constant of variation = 1/15