If y varies directly as x and y=8 when x=2, find y when x=6

Question

Nikolai Montgomery

Mathematics

19 April, 00:21

If y varies directly as x and y=8 when x=2, find y when x=6

+3

Answers (2)

Know the Answer?

Will Bender · Answer 1

y = 24

Step-by-step explanation:

The equation for direct variation is

y = kx

If we know x and y we can solve for k

y=kx

8 = k*2

Divide each side by 2

8/2 = k2/2

4 = k

y = 4x

We want to find y when x=6

y = 4*6

y = 24

Alisa · Answer 2

y = 8

Step-by-step explanation:

If y varies directly as x we can write y = kx where k is some constant.

Y = 8 when x = 2 so 8 = k*2

k = 8/2 = 4

so y = 4x

This is the equation of variation.

When x = 6, y = 4*6 = 24 (answer).