Question

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??

Answer 1

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

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

remember:

`(x^m)/(x^n)=x^(m-n)` where x=x

so


`(x^13)/(x^2)=10^(13-2)=10^(11)`

growth rate is
`10^(11)` per hour

Answer 2

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)`.