Answer:
29.2 miles/gallon
Step-by-step explanation:
Given that,
Distance travelled, [tex]d=36\dfrac{1}{2}[/tex] miles
Grace used [tex]1\dfrac{1}{4}\ \text{gallons}[/tex] of gasoline
We need to find the unit rate for miles per gallon. It can be calculated by dividing no of miles by gallons of gasoline. So,
[tex]R=\dfrac{36\dfrac{1}{2}\ \text{miles}}{1\dfrac{1}{4}\ \text{gallon}}\\R=\dfrac{\dfrac{73}{2}}{\dfrac{5}{4}}\ \text{miles per gallon}\\\\R=\dfrac{73}{2}\times \dfrac{4}{5}\\\\R=29.2\ \text{miles per gallon}[/tex]
Hence, the unit rate is 29.2 miles/gallon.