Question

The population of a town can be modeled by the equation P(t) = 5000e^0.025t, where t represents the number of years since 1990 and P(t) represents the total number of people. What was the population of the town initially?

A) 5000
B) 5250
C) 4750
D) 6000

Answer 1

The initial population of the town was 5000.

Step-by-step explanation:

The initial population of the town can be found by substituting t = 0 into the equation P(t) = 5000e^0.025t. This gives us:

P(0) = 5000e^0.025(0)

P(0) = 5000e^0

P(0) = 5000(1)

P(0) = 5000

Therefore, the initial population of the town was 5000.