Question

PLEASE HELP!!

Write the direct variation equations, then find y when x =5. Show all work and explain.

Answer 1

y=20 when x=5.

Explanation:

The easy way to solve this problem is to find what x was multiplied by, and then multiply the y by the same number.

To find the amount x was changed by, we can divide the result by the initial value.

Like this: 5/3=1.666667

Now we just need to multiply the initial y by 1.66667 to get the result.

12*1.6666667=20.

y=20 when x=5.

Hope this helps!

Answer 2

y=20

Explanation:

Direct variation is given by

y = kx

When y =12 x =3

12 = k3

Divide each side by 3

12/3 = 3k/3

4=k

The equation is

y = 4x

Now find y when x = 4

y = 4(5)

y =20