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?

Answer 1

For this case we have a function of the form:

`f (x) = 2 * 5 ^ x`
We will evaluate the function for different values of x:

For x = 1:

`f (1) = 2 * 5 ^ 1 = 2 * 5 = 10`

For x = 2:

`f (2) = 2 * 5 ^ 2 = 2 * 25 = 50`

For x = 3:

`f (3) = 2 * 5 ^ 3 = 2 * 125 = 250`

We note that for each value of x, the function is 5 times greater than the previous value.

Answer:
The multiplicative rate of change of the function is:
5
The function is 5 times greater for each value of x.