Question

The population of a certain town is growing at a constant rate. Suppose the population is $1200$ initially, and after $5$ years, the population is $1710$. Which of these expresses the rate at which the population is increasing?

• A. $51$people per month
• B. $1200$ people per year
• C. $-102$people per year
• D. $102$people per month
• E. $510$people per year
• F. $102$people per year

Answer 1

The correct option is F

$102$people per year

Explanation for correct option:

Finding the rate at which the population is increasing:

Given: Initial population $=1200$

Population after $5$ years $=1710$

Difference in population in $5$ years $=1710-1200$

$=510$

Rate of increase in population per year $=\frac{510}{5}$

$=102$

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

Hence, the correct option is (F)