An animal reserve has 44,000 elk. The population is increasing at a rate of 15% per year. How long will it
take for the population to reach 88,000? If necessary, round your answer to the nearest tenth.
The population will reach 88,000 in approximately _____
years.
In this problem we have an exponential function of the form

where
a is the initial value
r is the rate
y ----> is the population of elk
x -----> is the number of years
we have
a=44,000
r=15%=15/100=0.15
substitute

For y=88,000
substitute in the equation

therefore
The population will reach 88,000 in approximately 5 years