Question

The population of a certain town is growing at a constant rate. Suppose the population is 1600 initially, and after 5 years, the population is 2110. Which of these expresses the rate at which the population is increasing?

Answer 1

we are given

the population is 1600 initially

so, we will get first point as

(0,1600)

after 5 years, the population is 2110

so, we will get another point as

(5,2110)

Since, the population of a certain town is growing at a constant rate

so, we can use average rate formula

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

now, we can plug values

and we get

$r=\frac{2110-1600}{5-0}$

$r=102$

the rate at which the population is increasing is 102 people per year.......Answer