1. The Choi family owns two cars. Mrs. Choi collects data on the fuel consumption of each car, and develops the following relationship between the distance driven and the amount of fuel remaining. Car A: F = 60 - 0.08d
Car B: F = 80 - 0.12d
F represents the amount of fuel remaining, in litres.
d represents the distance driven, in kilometres.
a) Use Desmos to graph both equations on the same axes.
b) What is the initial value of each relation? Explain the significance of these values in the context of the problem (i. e. What do the initial values represent?).
c) Compare the rates of change for each relation. Explain the significance of these values in the context of the problem.
d) Mrs. Choi’s son buys a new car. The new car has a smaller gas tank than Cars A and B, but gets better fuel economy than those cars. Describe what the fuel consumption graph for the new car would look like in comparison to Cars A and B.