Question

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

Answer 1

Answer:

$x=0$

Step-by-step 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

$k=-\frac{4}{32}$

simplify

$k=-\frac{1}{8}$

so

The linear equation is

$y=-\frac{1}{8}x$

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

$x=0$