The population of a town is modeled by the equation P=3485e0.12t, where “P” represents the population as of the year 2000.

Question

According to the model, what will the population of the town be in 2010?
In approximately what year will the population reach 50,000 people?
Must answer and show appropriate work for both questions here.

Part A: 11,571 people in 2010
Part B: approx. 22 years

Part A: 38,416 people in 2010
Part B: approx. 13 years

Part A: 11,571 people in 2010;
Part B: approx. 13 years

Part A: 38,416 people in 2010;
Part B: approx. 22 years

Answer 1

It would help if you would proofread your work before you post it.

What is "P=3485e0.12t,"?

Answer 2

P=3485 e^ .12t this is the equation sorry typo

Answer 3

P=3485e^0.12t

let 2000 correspond with t = 0, then for 2010 , t = 10
sub t = 10 into the equation and calculate

when is P = 5000?
5000 = 3485 e^(.12t)
take ln of both sides
ln 5000 = ln 3485 + .12t ln e
.12t = ln5000 - ln3485 = .36096...
t = 3.008..

which would correspond with 2003

Answer 4

Whats the correct answer? i think it is A.