Question

Determine whether y varies directly with x. If so, find the constant of variation k write the equation

Answer 1

It varies directly

k =
`(5)/(3)`

Explanation:

Table:

x y

7 11

8 13

9 15

10 17

Problem:, determine if y varies directly as x

Solution:

The equation to determine if they vary directly is;

y ∝ x

y = kx

From the table, y varies directly as x. As y increases, x also increases.

To find k, use any convenient value of y and x ;

y = 15 and x = 9;

15 = k x 9

k =
`(15)/(9)` =
`(5)/(3)`