Question

Suppose y varies directly with x and y=12 when x=-3 what is the value of y when x=6?

Answer 1

Answer:

A. -24

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a directly or proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem we have

For x=-3, y=12

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the given values

$k=\frac{12}{-3}=-4$

so

The linear equation is equal to

$y=-4x$

what is the value of y when x=6?

substitute the value of x in the linear equation and solve for y

$y=-4(6)=-24$