Question

The population of bats in a large cave is 4800 and is growing exponentially at 16%
per year. Write a function to represent the population of bats after t years, where the
quarterly rate of change can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also, determine the percentage
rate of change per quarter, to the nearest hundredth of a percent.

Answer 1

Answer:

f(t)=4800(1.0378)^4t

3.78%

Step-by-step explanation:

f(t)=

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

f(t)=4800(1+0.16)^t

f(t)=4800(1.16)^t