Question

The table of values below represent an exponential function. Find the constant ratio of successive y-values. x y -2 5 -1 7.5 0 11.25 1 16.875 2 25.3125 a. 5 c. 1.5 b. 1.33 d. 0.5

Answer 1

Answer: 1.5

Explanation:

To find the constant ratio of successive y-values, we need to divide each y-value by the previous one.

For example, to find the ratio between the second and first y-values:

7.5 ÷ 5 = 1.5

Similarly, we can find the other ratios:

11.25 ÷ 7.5 = 1.5

16.875 ÷ 11.25 = 1.5

25.3125 ÷ 16.875 = 1.5

Since all the ratios are the same, we can conclude that the constant ratio of successive y-values is 1.5.

Therefore, the answer is c. 1.5.