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How is an exponential growth function of the form ​f(x)=a(1+r)^x related to an exponential function of the form ​f(x)=a*b^x?
A.
The value of a is the growth​ factor, and b is equal to the initial amount r.
B.
The value of a is the growth​ factor, and b is equal to the initial amount ​(1+​r).
C.
The value of a is the initial​ amount, and b is equal to the growth factor ​(1+​r).
D.
The value of a is the initial​ amount, and b is equal to the growth factor r.

Respuesta :

MrRoyal

The true statement is (c) the value of a is the initial​ amount, and b is equal to the growth factor ​(1+​r).

How to compare the functions?

The functions are given as:

f(x) = a(1 + r)^x

f(x) = a * b^x

An exponential growth function is represented as:

y = ab^x

Where

  • a represents the initial value
  • b represents the rate

By comparison:

b = 1 + r

Hence, the true statement is (c) the value of a is the initial​ amount, and b is equal to the growth factor ​(1+​r).

Read more about exponential function at:

https://brainly.com/question/2456547

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