SOLUTION: Suppose that at the start of an experiment in a biochem class, 15 bacteria are present in a colony. Five hours later, the population is found to be 35. a) Determine the constant

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Suppose that at the start of an experiment in a biochem class, 15 bacteria are present in a colony. Five hours later, the population is found to be 35. a) Determine the constant      Log On


   

Question 1149566: Suppose that at the start of an experiment in a biochem class, 15 bacteria are present in a colony. Five hours later, the population is found to be 35.
a) Determine the constant c.
b) How many bacteria were there 3 hours after the experiment began?
c) When will the population reach 60?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
y=p%2Ab%5Ex
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35=15%2Ab%5E5
7=3%2Ab%5E5
b%5E5=7%2F3
b=1.18466
Model which could be used: highlight%28y=15%281.18466%29%5Ex%29
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b) How many bacteria were there 3 hours after the experiment began?
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Plug-in 3 for x, and calculate the result.


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c) When will the population reach 60?
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log%28%28y%29%29=log%28%2815%29%29%2Blog%28%281.18466%5Ex%29%29
log%28%28y%29%29-log%28%2815%29%29=x%2Alog%28%281.18466%29%29
x=%28log%28%28y%29%29-log%28%2815%29%29%29%2Flog%28%281.18466%29%29
substituting60fory,
x=%28log%28%2860%2F15%29%29%29%2Flog%28%281.18466%29%29
x=log%28%284%29%29%2Flog%28%281.18466%29%29
Youfinishthis.