Multiple Choice

Question

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

Answer 1

To find the value of y when x = -6 in a direct variation, we can use the formula y = kx, where k is the constant of variation.

First, we need to find the value of k. We are given that y = 14 when x = -4, so we can substitute these values into the formula:

14 = k(-4)

Dividing both sides of the equation by -4:

k = -14/-4

k = 7/2

Now that we have the value of k, we can substitute x = -6 into the formula to find y:

y = (7/2)(-6)

y = -21

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

So, the correct answer is -21.