Please help with this question

label Algebra
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Suppose the population of trout in a certain stretch of a river is 4000. In about how many years will the population of trout be 700 if the decay rate is 35%? Use the equation 700 = (4000)(0.65)x and round the value of x to the nearest year.

May 16th, 2015

hello there welcome to study pool!


700=4000(0.65)^x

first devide both sides by 4000

7000/4000=4000/4000(0.65)^x

7/4=(0.65)^x

get log of both sides

log(7/4)=log(0.65)^x

0.24=xlog(0.65)

x=0.24/(0.187)

x=1.28

x=1 year

May 16th, 2015

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May 16th, 2015
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