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Strep throat is caused by Streptococcus bacteria. The amount of bacteria multiplies at a rate of 10^13 per 10^2 hrs.

What is the average growth of bacteria per hour??

Verified Answer :

Bacteria multiplies at a rate of \(10^{13}\) per \(10^{2}\) hours.

In extended form, we get:

Rate of 10000000000000 per 100 hours.

Then for 1 hour, we only divide 10000000000000 by 100.

Thus we get that the average growth of bacteria per hour is 100000000000, or when writing it in exponential terms, \(10^{11}\).

apologiabiology

given
rate=10^13
time=10^2 hours

average per hour=rate/time
to make this less messy, use exponent rules

remember:
\(\frac{x^m}{x^n}=x^{m-n}\) where x=x

so

\(\frac{x^13}{x^2}=10^{13-2}=10^{11}\)

growth rate is \(10^{11}\) per hour

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