Question

The population of Hannah’s town increased from 1,500 to 2,600 in five years. At what rate is the population increasing?

Answer 1

The population is increasing at the rate of 220

Explanation:

Given that the population of Hannah's town is increased from 1500 to 2600 in five years.

This can be written in expression as

$f(0)=1500$  and

$f(5)=2600$

We need to determine the rate of change of population.

The rate of change can be determined using the formula,

$\frac{f(b)-f(a)}{b-a}$

where $a=0$ and $b=5$

Substituting the values in the formula, we have,

$\frac{2600-1500}{5-0}$

Simplifying, we have,

$\frac{1100}{5}$

Dividing, we get,

220

Thus, the population is increasing at the rate of 220