The population of a certain inner-city area is estimated to be declining according to the model P(t) = 531,000e−0.013t, where t is the number of years from th

Question

The population of a certain inner-city area is estimated to be declining according to the model
P(t) = 531,000e−0.013t, where
t is the number of years from the present. What does this model predict the population will be in
9 years? Round to the nearest person.

 

 

The -0.013t is all suppossed to be an exponent above the e idk if that is understood in the way it came out here.

Answer 1

P(t) = 531,000e−0.013t

You can make it clear using some parentheses and the typing convention of ^ to indicate an exponent.

P(t) = 531000e^(-0.013t)

 

e is Euler's number, the base of natural logarithms.

e^x is the inverse of ln(x).

 

You just need to use 9 for t and evaluate.  Use a calculator!

P(9) = 531000•e^(-0.013•9)

The function on the calculator may be e^x or exp(x) or the inverse of ln(x).

 

The answer is 472370.