Question

The population of a certain inner-city area is estimated to be declining according to the model P(t) = 108,000e -0.011t, where is the number of years from the presentWhat does this model predict the population will be in 7 years? Round to the nearest person.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

P(t) = 108,000e -0.011t

t = time = 7 years

Step 02:

population:

$P(7)\text{ = 108000}e^{-0.11(7)}=108000\cdot0.9259$

P (7) = 99996.104

The answer is:

population = 99,996