Question

The population of a town is 2500 and is decreasing at a rate of 3.5% per year. use an exponential function to find the population of the town after 5 years. round the the nearest whole number.

Answer 1

Explanation:

The exponential decay function is P(t) = 2500*(1 - 0.035)^t, and the population after 5 years is 2,092.1.How to write an exponential decay?A general exponential decay is written as:P(t) = A*(1 - r)^tWhere:A is the initial value, which in this case is A = 2500.t is the time in years.r is the decay, which is given by the quotient between the decreasing rate and 100%.r = 3.5%/100% = 0.035Then our exponential function is:P(t) = 2500*(1 - 0.035)^tThe population after 5 years is given by replacing t = 5, we will get:P(5) = 2500*(1 - 0.035)^5 = 2,092.1