Question

The function f(x) = 2·5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multiplicative rate of change of the function? (FAST) A. 2 B. 5 C. 10 D. 32

Answer 1

The multiplicative rate of change of the function is 5.

Step-by-step explanation:

The function f(x) = 2·5x represents exponential growth. To find the multiplicative rate of change, we can calculate the ratio of the function values for consecutive x-values.

1. For x = 1, f(1) = 2·51 = 2·5 = 10
2. For x = 2, f(2) = 2·52 = 2·25 = 50
3. For x = 3, f(3) = 2·53 = 2·125 = 250

The ratio between each pair of consecutive y-values is 5. Therefore, the multiplicative rate of change of the function is 5.

Learn more about exponential growth