2
QuizMultiple Choice

Composition of Functions and Modeling — Quiz

Question 2 • Precalculus

The Brazilian free-tailed bat can travel 99 miles per hour. After sunset, a colony of bats emerges from a cave and spreads out in a circular pattern. How long before these bats cover an area of 80 comma 000 square miles? Use pi is equal to 3 point 1 4

Answer
A
1 point 6 hours
B
2 point 6 hours

Explanation

The bats’ circular spread has radius equal to the distance they travel: 99t miles after t hours. Using the circle area formula, 80,000 = 3.14(99t)², so t = √(80,000 ÷ 3.14) ÷ 99 ≈ 1.6 hours. The correct choice is A, 1.6 hours.

AI-written and checked against the verified answer.

Previous
Next