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 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:

1. First, find the area of the triangular - shaped canyon:

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

1. Then, find the population density:

• Population density \(D=\frac{\text{Population}}{\text{Area}}\).
• The population is 97500 moose and the area \(A = 1975\) square miles.
• \(D=\frac{97500}{1975}\approx49\) moose per square mile.

Answer:

d. 49