Question

Bobby is driving from Grand Isle to Disney. Every time Bobby stops for gas, he records the distance he traveled in miles and the total number of gallons he used.

Gallons Consumed Miles Driven
3 66
5 110
14 308

What is the unit rate of miles per gallon?

a) 22 miles/gallon
b) 20 miles/gallon
c) 25 miles/gallon
d) 15 miles/gallon

Answer 1

To find the unit rate of miles per gallon for Bobby's trips, we divide the miles driven by the gallons consumed for each trip. All trips result in the same unit rate of 22 miles per gallon, hence the correct option is (a) 22 miles/gallon.

Step-by-step explanation:

To calculating the unit rate of miles per gallon based on the data provided. The unit rate of an item is calculated by dividing two associated quantities to find how much of one quantity corresponds to a single unit of the other quantity. In the context of driving a car, it represents how many miles can be driven per one gallon of gasoline. To find the answer, we will simplify the given ratios and find a consistent rate per one gallon.

1. For the first trip, dividing 66 miles by 3 gallons gives 22 miles/gallon.
2. For the second trip, dividing 110 miles by 5 gallons gives 22 miles/gallon as well.
3. For the third trip, dividing 308 miles by 14 gallons gives 22 miles/gallon too.

Since all the provided data points yield the same unit rate, the answer to the question is 22 miles per gallon, which corresponds to option (a).