Question

falls canyon is roughly in the shape of a triangle. if the base of the triangle is 158 miles, the height is 25 miles, and if it has a population of 97,500 moose, what is the approximate population density of moose per square mile?
a. 3,900
b. 500
c. 980
d. 49

Explanation:

Step1: Calculate the area of the triangle

The area formula for a triangle is $A=\frac{1}{2}bh$, where $b = 158$ miles and $h=25$ miles. So $A=\frac{1}{2}\times158\times25=\frac{158\times25}{2}=1975$ square - miles.

Step2: Calculate the population density

Population density $D=\frac{\text{Population}}{\text{Area}}$. The population is 97500 moose and the area is 1975 square - miles. So $D=\frac{97500}{1975}\approx49$ moose per square mile.

Answer:

D. 49