QuestionThe population function is $p(t)=0.4t+28.2$. Which statement about the town's population growth is true? A) B) C) D)

Studdy Solution
Now, let's analyze the options givenA) Every year, the town's population is estimated to increase by28.2. This statement is incorrect because the rate of population increase per year is given by the slope of the function, which is $0.4$, not $28.2$.
B) Every0.4 year, the town's population is estimated to increase by400. This statement is incorrect because the slope of the function indicates that the population increases by $400$ each year, not every $0.4$ year.
C) Every10 years, the town's population is estimated to increase by4,000. This statement is correct because if the population increases by $400$ each year, then in $10$ years, it would increase by $400 \times10 =4,000$.
) Every28.2 years, the town's population is estimated to increase by1,000. This statement is incorrect because the rate of population increase per year is given by the slope of the function, which is $0.4$, not $28.2$.
The correct statement is C) Every10 years, the town's population is estimated to increase by4,000.