It would take approximately 11 years for this population to reach 7300.
How to calculate the time?
Based on the information provided, the future size of the population can be modelled by using an exponential function:
F = Pe^rt
Substituting the given parameters into the formula, we have;
7300 = 5000e^{0.035 × t}
7300/5000 = e^{0.035t}
1.46 = e^{0.035t}
Taking the ln of both sides, we have:
ln(1.46) = ln(e^{0.035t})
0.378 = 0.035t
t = 0.378/0.035
Time, t = 10.8 ≈ 11 years.
Read more on exponential functions here: https://brainly.com/question/15926922
#SPJ1
