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weqwewe [10]
3 years ago
10

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 th

e 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?
Mathematics
1 answer:
Serhud [2]3 years ago
7 0

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.


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