SOLUTION: Please help me solve this word problem: A population of grasshoppers quadruples in twenty days. Assuming exponential growth, if the present population is 40 million, what will

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Question 1014985: Please help me solve this word problem:
A population of grasshoppers quadruples in twenty days. Assuming exponential growth, if the present population is 40 million, what will it be in fifty days? Answer the question by first finding the number y of grasshoppers as a function of time t(in days) in the form y=y0e^kt
Thank-you, your help is always appreciated!

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
You can start with y=y%5Bo%5D%2A4%5Et. You have a also 4%2A40=40%2Ae%5E%28k%2A20%29 and from this equation, you can find or solve the value of k. How, is simplify and take log of both sides.