The mass of bacteria in a labaratory experiment increases exponentially by 22% each hour. The mass of bacteria was 8 micrograms
when the experiment began. You are interested in predicting how long it will take for the mass of bacteria to reach 100 micrograms.
1 answer:
Answer:
The Answer is approximately 12.71 seconds.
Step-by-step explanation:
The form of the equation is:
f(x) = ab^x
Substitute:
f(x) = 8(1.22)^x
Solve for:
f(x) = 100
100 = 8(1.22)^x
100/8 = 1.22^x
12.5 = 1.22^x
1.22^x = 12.5
log(1.22^x) = log(12.5)
x * log(1.22) = log(12.5)
x * 0.0863 = 1.0969
x = 1.0969 / .0863 = 12.71 seconds, approximately
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