Answer:
The vehicle covers 126 miles on 7 gallons of fuel.
Step-by-step explanation:
Given:
The distance traveled is directly proportional to the amount of fuel.
For [tex]F[/tex] gallons of fuel distance traveled [tex]D[/tex] miles can be given as:
[tex]D[/tex] ∝ [tex]F[/tex]
[tex]D=kF[/tex]
where [tex]k[/tex] is constant of proportionality.
The vehicle covers [tex]D=90[/tex] miles on [tex]F=5[/tex] gallons.
So
[tex]90=k(5)[/tex]
Dividing both sides by 5.
[tex]\frac{90}{5}=\frac{k(5)}{5}[/tex]
[tex]18=k[/tex]
∴ [tex]k=18[/tex]
When [tex]F=7[/tex] gallons
[tex]D=(18)(7)[/tex]
[tex]D=126[/tex] miles
∴ The vehicle covers 126 miles on 7 gallons of fuel.
