Posted by **danielle** on Thursday, December 12, 2013 at 6:37pm.

The population of a certain town grows from 10,000 in 1982 to 35,000 in 1995. At this rate, in what year will the population reach 300,000?

Tip* Population growth formula:

P = P(subzero)multiplied by e^(k)(t)

- Math (pre calculus) -
**Damon**, Thursday, December 12, 2013 at 6:47pm
p = po e^(kt)

10,000 = 10,000 e^0 if t = 0 at 1982

1995 - 1982 = 13

35,000 = 10,000 e^(k*13)

ln(3.5) = 13 k

k = 1.253/13 = .09637

300,000 = 10,000 e^(.09637 t)

ln 30 = .09637t

t = 35.3

1982 + 35.3 = 2017 almost there :)

## Answer this Question

## Related Questions

- Pre-Calculus - A town has a population which is growing linearly. In 1970 its ...
- math - Suppose that the population of a town is described by P=0.16t^2=7.2t=100...
- Calculus - The rate of growth of a particular population is given by dP/dt=50t^2...
- math - Suppose that the population of a town is described by P=0.16t^2+7.2t+100...
- math - A town now has a population of 300,000 people and an annual growth rate ...
- math - The population of a small town is modelled by the function p(t)= 20(4t+3...
- MATH - 4. The population of a small town is modelled by the function p(t)= 20(4t...
- MATH - 4. The population of a small town is modelled by the function p(t)= 20(4t...
- Calculus - The population in certain country is growing at the rate of 7 % a ...
- Pre Calculus - The population of a city is 127,000 and is decreasing by 2.4% ...