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)?

Algebra ->  Graphs -> 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)?       Log On


   

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(39616) About Me  (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

G=4.5-%281.4%2F63%29%2AM

The slope can be changed in appearance if it makes viewing or using easier.
1.4%2F63=14%2F630=%282%2A7%29%2F%282%2A5%2A7%2A9%29=1%2F45

This means, highlight%28G=4.5-M%2F45%29.

Recognize that the restriction on this application should be that 4.5-M%2F45%3E=0,
4.5%3E=M%2F45
4.5%2A45%3E=M
M%3C=202.5.

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.
0%3C=M%3C=202%261%2F2------Important requirement for any full tank of fuel on this vehicle.