Race to the Finish
Name ________________________
Standards Assessed: 1.3, 4.1, 4.2, 4.3, 4.5, 5.2, 5.4 Algebra 2
Directions: Mario is the team manager for three racing
teams. He has three cars in the race. He has to make a
decision on how many laps each of his cars can
complete before refueling is required.
Below is a table showing the current rate of fuel
consumption:
Car/Driver
#23/Daniels
#17/Miller
#55/Fisher
Lap 1
52
38
34
Gallons of Fuel Remaining
Lap 2
Lap 4
48
41
32
24
31
26
Lap 6
33
18
24
Make a graph for the data for each of the cars. Assuming the race conditions stay the
same, determine how many laps each of the drivers can go before refueling. Make sure
you include an explanation with necessary computations, sketches, formulas, and notes.
Use the graph to create an equation to describe the fuel consumption. You will need a
different equation for each of the cars. If the race only has 15 laps, which drivers will not
need to refuel before the end of the race?