Question

The population of a town is 2500 and is decreasing at a rate of 3.5% per year. Use an exponent function to find the population of the town after 5 years

Answer 1

2099

Explanation:

The formula for Exponential Decrease is given as:

P(t) = Po × e ^-rt

Where

r = Decrease rate = 3.5% = 0.035

t = time in years = 5 years

Po = Initial population = 2500

P(t) = Current Population after t years

Hence:

P(t) = 2500 × e^ -(5 × 0.035)

P(t) = 2500 × e^-0.175

P(t) = 2098.6425519

Approximately = 2099

The population of the town after 5 years = 2099