Answer:
15.4 gallons .
Step-by-step explanation:
The rate of gas used = 380/14 = 27.14 gallons per gallon.
So for each gallon used you drive 27.14 miles.
So number of gallons used when travelling 418 miles = 418/27.14
= 15.4 gallons .
At the rate your car consumes gas, you will need 15.4 gallons to drive 418 miles.
The first thing to do here is to find out how many miles you can go with a single gallon of gas.
= Gas used / Number of miles traveled
= 14 / 380
= 0.0368 gallons per mile
Now that you have to drive 418 miles, the amount of gas you will need is:
= Number of miles to travel gas per mile
= 418 x 0.0368
= 15.4 gallons
In conclusion, you will need 15.4 gallons.
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