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 total amount of bacteria present after 10^3 hour?

Answer 1

Answer: The total amount of bacteria present after
`10^3` hours is
`10^(14)`.

Step-by-step explanation:

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

`10^2` hours =
`10^3` bacteria

The amount of bacteria in one hours is,

`\text{Bacteria}=(10^(13))/(10^2)`

The amount of bacteria after
`10^3` hours is,

`\text{Bacteria}=(10^(13))/(10^2)* (10^3)`

`\text{Bacteria}=10^(13)* 10`

`\text{Bacteria}=10^(14)`

Therefore, the total amount of bacteria present after
`10^3` hours is
`10^(14)`.