Problema Solution

A man can travel 324 miles on a tank of gas. A table shows that 5 gallons will travel 90 miles,8gal 144 mi,11gal 198 mi.Write an equation to show the size of the gas tank.

Answer provided by our tutors

Volume of gas = 5 gallons

Distance travled = 90 miles

=> Distance per gallon = 90/5 = 18 miles/gallon

We see for other readings the ratio

For 8 gal we get ratio = 144/8 = 18 miles/gallon

For 11 gallon we get ratio = 198/11 = 18 miles/gallon

 

Equation for the size of the tank = Miles travlled/18

=> Size of the tank = 324/18 = 18 gallons