Question

X=8

THE DIRECTIONS ARE ON THE TOP

Answer 1

y = 40

Explanation:

For #7, we are told that y = 10 when x = 2

We are also told that 'y varies directly as x'. That means there is some constant number, k, so that

Formula --> y = kx

Since y=10 and x= 2, we substitute those numbers into the formula.

We get 10 = k × 2.

So k has to be 5, right?

k = 5

So what is y when x = 8?

Use the formula.

y=kx ---> That gives us y = k × 8. But we know k is 5.

So y = 5 × 8 = 40

y = 40

Answer 2

9514 1404 393

Answer:

7. y = 5x; y = 40

8. y = 1/3x; y = 8/3

Explanation:

In the direct proportion equation y=kx, the value of k can be found as ...

k = y/x . . . . . divide both sides by x to solve for k

__

7. k = 10/2 = 5

The equation is ...

y = 5x

For x=8, the value of y is found using the equation:

y = 5(8) = 40

__

8. Same deal, different numbers.

k = 6/18 = 1/3

y = 1/3x . . . . . the equation

y = 8/3 . . . . . y for x=8