# A population of ants is growing at a rate of 10% per month. What is the growth factor?

## Question:

A population of ants is growing at a rate of 10% per month. What is the growth factor?

## Growth Factor:

If the population of a group of humans, animals, etc. is increasing at a rate, it is called the growth of the population. If the population is increasing at a rate {eq}r \% {/eq}, then the growth factor is: {eq}1+ \dfrac{r}{100} {/eq}.

## Answer and Explanation:

The growth rate given is, {eq}r= 10 \% {/eq}.

Then the growth factor is:

$$1+ \dfrac{r}{100} = 1+ \dfrac{10}{100} = 1+ 0.1 = \boxed{\mathbf{1.1}}$$