SOLUTION: Solve each problem by writing a linear function Luke's motorcycle has a 4.5 gal gas tank and uses 1.4 gal to travel 63 miles. At what rate is the gasoline consumed (in gal/mi)?

Question 1002277: Solve each problem by writing a linear function
Luke's motorcycle has a 4.5 gal gas tank and uses 1.4 gal to travel 63 miles. At what rate is the gasoline consumed (in gal/mi)? Write a linear function, G, that models the number of gallons left in the tank after he travels M miles, assuming the tank was full when he started. How many gallons are left in the tank after he travels 180 miles.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
G is a function of M.
G, gallons remaining in the tank
M, number of miles driven starting from full tank

The slope can be changed in appearance if it makes viewing or using easier.

This means, .

Recognize that the restriction on this application should be that ,

.

Also, any miles driven must be non-negative. Either some miles were driven or they were not; and you cannot drive negative miles of distance.
------Important requirement for any full tank of fuel on this vehicle.
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