A family drives 4 1/2 miles in 1/10 of an hour. What is their rate of speed in miles per hour? speed = _____ miles per hour

To find the rate of speed in miles per hour, we can use the formula:

[ text{Speed} = frac{text{Distance}}{text{Time}} ]

In this case, the distance is 4.5 miles, and the time is ( frac{1}{10} ) of an hour.

1. Plug the values into the formula:

[ text{Speed} = frac{4.5 text{ miles}}{frac{1}{10} text{ hour}} ]

2. Dividing by a fraction is the same as multiplying by its reciprocal, so:

[ text{Speed} = 4.5 text{ miles} times 10 = 45 text{ miles per hour} ]

Therefore, their rate of speed is 45 miles per hour. Great job working through it! If you have more questions, feel free to ask!