Final answer:
To calculate population density, divide the total population by the area of the region. For Falls Canyon, with an area of 1,975 square miles and 97,500 moose, the population density is approximately 49 moose per square mile.
Step-by-step explanation:
The student is asking about calculating the population density of moose in Falls Canyon. The area of the triangle-shaped canyon needs to be determined first, which can be done using the formula for the area of a triangle, A = 1/2 × base × height. With the provided dimensions of the base being 158 miles and the height 25 miles, the area is A = 1/2 × 158 × 25, which equals 1,975 square miles. The population density is then calculated by dividing the total moose population by the area, Population Density = Total Population / Area. Using the moose population of 97,500, we get Population Density = 97,500 / 1,975, which is approximately 49.37 moose per square mile. Therefore, the approximate population density of moose per square mile in Falls Canyon is 49.