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
[tex]f(0)=1500[/tex] and
[tex]f(5)=2600[/tex]
We need to determine the rate of change of population.
The rate of change can be determined using the formula,
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
where [tex]a=0[/tex] and [tex]b=5[/tex]
Substituting the values in the formula, we have,
[tex]\frac{2600-1500}{5-0}[/tex]
Simplifying, we have,
[tex]\frac{1100}{5}[/tex]
Dividing, we get,
220
Thus, the population is increasing at the rate of 220
