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 mul

Question

3 years ago

7

tiplicative rate of change of the function?

2 answers:

Free_Kalibri [48] · Answer 1 · 2022-07-24T02:19:34+03:00

8 0

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

Sedaia [141] · Answer 2 · 2022-07-24T03:43:14+03:00

<h2>Answer:</h2>

The multiplicative rate of change of the function is:

5

<h2>Step-by-step explanation:</h2>

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