Question

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation

If y varies directly as x, and y=7 when x=3, find y when x=7

Answer 1

a. y = 7/3 x ; y(7) = 49/3

Explanation:

Given:

Y varies directly as x, it is direct variation.

Y = Kx

Here we need to find k,

Now plug in y = 7 and x =3 and find the value of k.

7 = k(3)

k = 7/3

The equation is y = 7/3 (x)

Now we have to find y, when x = 7

y= 7/3(7)

y = 49/3

Therefore, answer is a. y = 7/3 x ; y(7) = 49/3.

Hope this will help you.

Thank you.