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

I think the answer is 5

Answer 2

5

Explanation:

We have been given a function
`f(x)=2\cdot 5^x`. We are asked to the multiplicative rate of change of the function.

We know that exponential function is in form
`f(x)=a\cdot b^x`, where,

a = Initial value,

b = Multiplicative rate of change.

Upon comparing our function with standard exponential function, we can see that the value of b is 5, therefore, the multiplicative rate of change of the function is 5.