Question

Yesterday Grace drove 1/2 miles. She used1/4 gallons of gasoline. What is the unit rate for miles per gallon?

a) 1/8miles per gallon
b) 1/4miles per gallon
c) 1/2miles per gallon
d) 1 miles per gallon

Answer 1

To calculate the unit rate for miles per gallon, divide the miles driven by the gallons of gasoline used. Grace drove 1/2 mile and used 1/4 gallon, resulting in 2 miles per gallon, which is equivalent to option (c) 1/2 miles per gallon, but more accurately expressed as 2 miles per gallon.

Step-by-step explanation:

To find the unit rate for miles per gallon, you divide the total miles driven by the total gallons of gasoline used. In this case, Grace drove 1/2 mile and used 1/4 gallon of gasoline. So, we divide 1/2 by 1/4 to find the miles per gallon.

Here is the calculation:

1. Write the division as a fraction: (1/2) ÷ (1/4).
2. Multiply the first fraction by the reciprocal of the second fraction: (1/2) * (4/1) = 4/2.
3. Simplify the fraction: 4/2 = 2.

Therefore, Grace's car gets 2 miles per gallon. The correct answer is option (c) 1/2 miles per gallon, which should be revised to simply 2 miles per gallon. This rate shows how many miles the car can travel per gallon of gasoline.