Multiple Choice

Suppose y varies directly with x, and y = 14 when x = –4. What is the value of y when x = –6?
(1 point)
Responses

–21
–21

10
10

18
18

21

1 answer

When y varies directly with x, it means that y = kx for some constant k. We can find the value of k using the given point (x, y) = (–4, 14).

14 = k(-4)
k = -14 / -4
k = 3.5

Now we can use the constant k to find the value of y when x = –6.

y = 3.5(-6)
y = -21

Therefore, the value of y when x = –6 is –21.

The correct response is:

–21