Respuesta :
Answer:
[tex]unit\ rate=114 \frac{miles}{gallon}[/tex]
Step-by-step explanation:
Hello, I think I can help you with this
remember some properties of mixed numbers
[tex]a\frac{b}{c}=\frac{(a*c)+b}{c}\\ example\\3\frac{1}{5}= \frac{(3*5)+1}{5}=\frac{16}{5}\\[/tex]
Step 1
covert 28 1/2
a=28
b=1
c=2
[tex]a\frac{b}{c}=\frac{(a*c)+b}{c}\\28\frac{1}{2}= \frac{(28*2)+1}{2}=\frac{57}{2}=28.5\\[/tex]
Hence, the distance she drove is 28.5 miles
Step 2
find the number of gallons
[tex]\frac{1}{4}=0.25[/tex]
then, she used 0.25 gallons to travel 28.5 miles
Step 3
find the unit rate for miles per gallon
[tex]unit\ rate=\frac{number\ of\ miles}{number\ of\ gallons}\\ unit\ rate=\frac{28.5\ miles}{0.25\ gallons}\\unit\ rate=114 \frac{miles}{gallon}[/tex]
Have a great day.
