A study indicates that x months from now the population of a town will be increasing at the rate of $3 + 5 x \sqrt { x }$ people per month. The population will increase by 513 people during the next 9 months.

Question

Quizplus · Accepted Answer

To find the total increase in population over 9 months, integrate the rate function $3 + 5x\sqrt{x}$ from 0 to 9. The integral evaluates to 513, confirming the statement.

A Study Indicates That X Months from Now the Population 3+5xx3 + 5 x \sqrt { x }3+5xx​

A Study Indicates That X Months from Now the Population $3 + 5 x \sqrt { x }$