Question

The population of Dawn land is changing exponentially. This change is modeled by the function f(x) = 60,000(1.01)x . Interpret the function to describe how the population changes. Explain how you know.

Answer 1

The function has an initial population size of 60,000 which increase at a rate of 1%

Explanation:

Given the expression :

f(x) = 60,000(1.01)^x

Since 1.01 > 1 (exponential

The general form of an Exponential growth function.

y = p(1 + r)^x

p = 60000 = initial population

1 + r = 1.01 ; where r = growth rate

r = 1.01 - 1 ; r = 0.01 =

r = 0.01 * 100% = 1% growth rate