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## In its prime, Mr. Ford’s 2002 Focus would get 36 miles/gallon. Mr. Ford starts a road trip to San Bernardino, Barstow, Kingman, Winona, and

Question

In its prime, Mr. Ford’s 2002 Focus would get 36 miles/gallon. Mr. Ford starts a road trip to San Bernardino, Barstow, Kingman, Winona, and Flagstaff, AZ. He starts with 13.2 gallons of gas in his gas tank. a) Write a slope-intercept equation that models how much gas remains in his tank after each mile of of travel(hint: g/mi)

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Mathematics
3 years
2021-07-18T22:55:29+00:00
2021-07-18T22:55:29+00:00 1 Answers
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## Answers ( )

Given :Mr. Ford’s 2002 Focus would get 36 miles/gallon.

He starts with 13.2 gallons of gas in his gas tank.

To Find :Write a slope-intercept equation that models how much gas remains in his tank after each mile of of travel(hint: g/mi).

Solution :Let, required equation is :

y = mx + cHere, y is gas remains in gallons.

Here, m is slope i.e. miles travelled per gallon.

So,

m = -36( since gas is decreasing )Initially distance travelled is 0 i.e. putting x = 0

y = c = 13.2Therefore, y = -36x + 13.2 this is the required equation.