SOLUTION: The doubling time of a population of grasshoppers is 15 days. By what factor does the population of grasshoppers grow in 55 days? (Round to the nearest tenth.)

Question 941757: The doubling time of a population of grasshoppers is 15 days. By what factor does the population of grasshoppers grow in 55 days?
(Round to the nearest tenth.)

Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Exponential growth in general, ;
y, population after time t
t, time in days
I, initial population, assumed t=0
k, growth constant

Use the formula to determine value for k.

You may be able to use 15 and 55 to find the factor, knowing that 15 days is the DOUBLING time.
... but continuing with the growth model,

, the specific model
Let t=55.

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