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