Question

8. Suppose y varies directly as x. If y = -4 when x = 32, find x when ys -0.​

Answer 1

`x=0`

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y/x=k` or
`y=kx`

in this problem

For x=32, y=-4

Find the value of the constant of proportionality k

`k=y/x`

substitute

`k=-(4)/(32)`

simplify

`k=-(1)/(8)`

so

The linear equation is

`y=-(1)/(8)x`

Find x when the value of y=0

Remember that

In a proportional relationship the line passes through the origin

so

If y=0

then

the value of x must be equal to zero

therefore

`x=0`