Yesterday, Grace drove 36 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon? The unit roto is miles per gallon?​

Respuesta :

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.