Question

suppose you drive a car 392 mi on a tank of gas. The tank holds 14 gallons. The number of miles traveled vaties directly with the number of gallons of gas you use.

a. Write an equation that relates miles to gallons of gas used. Let x = the number of gallons used and y = the number in miles driven.

b. Last year you drove 11,700 mi. Approximately how many gallons of gas did you use?

Answer 1

Preliminary Problem

Givens

Miles = m = 392 miles

Gallons =  G = 14 gallons

Miles per gallon = mpg

Formula

miles = miles per gallon * number of gallons.

Solve

392 = mpg * 14                         Divide by 14

392 / 14 = mpg

28 = mpg  which is really quite good.  Our vehicle gets 44 mpg but it's a 4 cylinder. It's meant to get that kind of milage.

Part A

Let x = the number of gallons used

Let y = the number of miles driven

y = k*x

Part B

y = k* x

k =28 mpg

11700 = 28*x

11700 /28 = x

x = 417.86

If this is incorrect please put some more facts in. The question does not seem complete.