Question

Exponential Growth Formula Word Problem:
When the population growth of a certain city was studied, the population was 22,000. It was found that the population, P, grows with respect to time, t, in years by the exponential formula P = (22,000)(10^0.0163t). How long will it take for the city to double its population?

Answer 1

so you need to solve for t when P = 44,000 correct?

Answer 2

Correct

Answer 3

My answer was 18.468 years. Is this correct?

Answer 4

so we have an equation

\[22,000.10^{.0163t} = 44,000\]

Answer 5

happy with that?

Answer 6

Yes, so is 18.468 correct?

Answer 7

how did you get that?

Answer 8

44,000 = 22,000(10^0.0163t)
Divide 22,000 both sides
2 = 10^0.0163t
log2 = 0.0163t
t=18.468
did i do this correctly?

Answer 9

yes, well done that's correct

Answer 10

Thanks