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 5 miles from the center of this city? Round your answer to two decimal places.
A) 12.15 thousand people per square mile
B) 6.67 thousand people per square mile
C) 5.93 thousand people per square mile
D) 7.41 thousand people per square mile

Question

Quizplus · Accepted Answer

To find the population density 5 miles from the center, substitute $x = 5$ into the function: $D(5) = 9e^{-0.06 \times 5}$. This simplifies to $D(5) = 9e^{-0.3}$. Calculating this gives approximately 6.67 thousand people per square mile.

The Population Density X Miles from the Center of a Certain