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 80,000 square miles? use pi = 3.14. 0.9 hours
1.6 hours
2.6 hours
5.1 hours

The colony of bats will take 1.612 hours to cover an area of 80,000 square miles.

Step-by-step explanation:

As the colony of bats emerges from a cave and spreads out in a circular pattern, the area covered () by the colony, measured in square miles, is represented by the following geometrical formula:

Where:

- Distance of the bat regarding the cave, measured in miles.

In addition, each bat moves at constant speed and distance is represented by this kinematic formula:

Where:

- Initial distance of the bat regarding the cave, measured in miles.

- Speed of the bat, measured in miles per hour.

- Time, measured in hours.

The distance of the bat regarding the cave is now substituted and time is therefore cleared:

Given that , , and , the time spent by the colony of bats is:

The colony of bats will take 1.612 hours to cover an area of 80,000 square miles.