Mr. fink's economy car can travel 420 miles on a 12 gallon tank on gas. Determine how many miles he can travel on 8 gallons

Answer: 280 miles.
Step-by-step explanation:
We know that the distance traveled by vehicle is proportional to the gallons of gas in it.
Let x be the distance traveled in 8 gallons.
Given : Mr. fink's economy car can travel 420 miles on a 12 gallon tank on gas.
By proportionality , we have
[tex]\dfrac{x}{8}=\dfrac{420}{12}\\\\\Rightarrow\ x=\dfrac{420}{12}\times8=280[/tex]
Hence, distance traveled in 8 gallons = 280 miles.