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?

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asked Apr 6, 2018 25.0k views

2 Answers

John Woo · Answer 1 · 2018-04-11T18:17:01+0000

The multiplicative rate of change of the function is:

5

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