Final answer:
To estimate the number of raccoons in the park, calculate the area of the park (1.75 mi × 5.2 mi = 9.1 sq mi) and multiply it by the number of raccoons per square mile (30), resulting in an estimated 273 raccoons.
Step-by-step explanation:
Calculating the Expected Number of Raccoons in a Park
The question asks to calculate the expected number of raccoons living in a rectangular area that measures 1.75 miles by 5.2 miles, given that each square mile is home to 30 raccoons. To find the answer, we need to multiply the area of the park by the number of raccoons per square mile.
First, we calculate the area of the park:
- Length = 1.75 miles
- Width = 5.2 miles
- Area = Length × Width = 1.75 miles × 5.2 miles = 9.1 square miles
Next, we calculate the expected number of raccoons:
- Raccoons per square mile = 30
- Expected number of raccoons = Area × Raccoons per square mile = 9.1 × 30 = 273 raccoons
Therefore, it is estimated that there are 273 raccoons living in the park.