What is the boat's speed in miles per hour if it is moving at 82.9 feet per minute?

To determine the boat's speed in miles per hour when it is traveling at 82.9 feet per minute, it’s necessary to convert feet per minute to miles per hour.

First, understand that there are 5280 feet in a mile. To convert feet per minute to miles per minute, divide the speed in feet per minute by the number of feet in a mile:

[

\text{Miles per minute} = \frac{82.9 \text{ feet per minute}}{5280 \text{ feet per mile}} \approx 0.0157 \text{ miles per minute}.

]

Next, to convert from miles per minute to miles per hour, multiply by the number of minutes in an hour (60):

[

\text{Miles per hour} = 0.0157 \text{ miles per minute} \times 60 \text{ minutes per hour} \approx 0.942 \text{ miles per hour}.

]

Rounding this value gives approximately 0.9 miles per hour. This calculation aligns with the chosen answer, which correctly indicates that the boat's speed is 0.9 mph.

This illustrates the importance of proper unit conversion in problem-solving, especially