The population density x miles from the center of a certain city is $D ( x ) = 9 e ^ { - 0.06 x }$ thousand people per square mile. What is the population density 7 miles from the center of this city? Round your answer to two decimal places.
A) 5.91 thousand people per square mile
B) 6.57 thousand people per square mile
C) 13.70 thousand people per square mile
D) 5.26 thousand people per square mile

Question

Quizplus · Accepted Answer

To find the population density 7 miles from the center of the city, substitute $x = 7$ into the given formula: $D(7) = 9e^{-0.06 \times 7}$. Calculating this gives $D(7) = 9e^{-0.42}$, which approximately equals 5.91 thousand people per square mile when rounded to two decimal places.

The Population Density X Miles from the Center of a Certain