## 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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3 years 2021-07-18T22:55:29+00:00 1 Answers 2 views 0

1. 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.