Question

A researcher determines that the number of bacteria increase at a rate modeled by =25*2^x. What is the growth rate?

Answer 1

Answer:

100%

Step-by-step explanation:

An exponential equation with a growth rate can be expressed as: $f(x)=A(1+r)^x$ where r is a positive number, and represents the growth rate.

In this case since the base of the exponent equals 2, that means r=1, since 1+1=2. This means it has a growth rate of 100%, which makes sense, since the base is 2, meaning it doubles or increases by 100% every time x increases by 1.