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

f'x= d (2.5x)/dx
= 2.5x. ln5 ( rate of change)

Answer 2

The multiplicative rate of change of the function is:

5

Explanation:

We are given a function f(x) in terms of the variable x as:

`f(x)=2\cdot 5^x`

The function passes through:

(1, 10), (2, 50), and (3, 250).

We know that the multiplicative rate of change of the exponential function :

`f(x)=ab^x`

is b.

Here we have: a=2 and b=5

(i.e. there is a multiplication by a fixed number i.e. 5 as compared to the preceding value )

Hence, the multiplicative rate of change is:

5