Question

Use the exponential function you wrote for problem 5 to find the population of the town after 5 years. Show your work and round your answer to the nearest whole number.

Answer 1

To find the population of the town after 5 years, we will substitute 5 for the variable "t" in the exponential function and calculate the value.

Population = 1000 * e^(0.03 * 5)

First, let's calculate 0.03 * 5:

0.03 * 5 = 0.15

Now, let's calculate e^(0.15):

e^(0.15) ≈ 1.16183

Finally, let's multiply 1000 by 1.16183:

1000 * 1.16183 ≈ 1161.83

Rounding to the nearest whole number, the population of the town after 5 years is approximately 1162.