Thread: Homework help fast...please

a populaton increases from 81,500 to 103,200 over a 7 year period. If the growth rate remians the same how long will it take the initial population to double?

Originally Posted by Jenny Service

a populaton increases from 81,500 to 103,200 over a 7 year period. If the growth rate remians the same how long will it take the initial population to double?

assuming exponential growth, we have



where is the population after time , is the initial population, is the rate of growth, and is time

since it grows from 81,500 to 103,200 over a 7 year period, we have:



solve that for , that will give you the rate of growth.

then use it to find what they asked you for, which would be to solve:

for (you will know the value of at this point, the value of is immaterial)

thank you! that really does help