Question

"Which equation has a constant of proportionality equal to 8?

A. 4y = 8x
B. 2y = 16x
C. 3y =21x
D. 8y = 8x"

Answer 1

The equation that has a constant of proportionality equal to 8 is 8y = 8x (option D).

Step-by-step explanation:

To determine which equation has a constant of proportionality equal to 8, we need to look for the equation in the form of y = kx, where k is the constant of proportionality. So let's examine each equation:

1. A. 4y = 8x - The constant of proportionality is 4/8 = 1/2, not 8. Incorrect.
2. B. 2y = 16x - The constant of proportionality is 2/16 = 1/8, not 8. Incorrect.
3. C. 3y = 21x - The constant of proportionality is 3/21 = 1/7, not 8. Incorrect.
4. D. 8y = 8x - The constant of proportionality is 8/8 = 1. This equation has a constant of proportionality equal to 8. Correct.

Therefore, the equation that has a constant of proportionality equal to 8 is 8y = 8x (option D).