If each step of a staircase rises 9 inches, then the height of the staircase above the base is proportional to the number of steps. What is the constant of proportionality?
A)9
B)6
C)4.5
D)3

Question

Quizplus · Accepted Answer

The height of the staircase is directly proportional to the number of steps. This means that if we increase the number of steps by a factor of x, the height will also increase by a factor of x. Since each step rises 9 inches, the constant of proportionality is 9. Therefore, the height of the staircase is given by 9 times the number of steps.

If Each Step of a Staircase Rises 9 Inches, Then