1.5 The Algebra of Functions

Checkpoint 1

In Activity 1 of Section 1.2, you found that the data points in Table C1 were fit reasonably well by the equation `y=-81.24 t+164,600`, whose graph is shown with the data points in Figure C1.

Per Capita Cigarette Consumption
Table C1
Figure C1
Figure C2
Year
Consumption
1975
4,123
1980
3,851
1985
3,461
1990
2,827
1995
2,515
2000
2,092


  1. What is the slope of this linear function? (Note that the scales on the graph are not equal.)
  2. What is the slope of the inverse function (shown in Figure C2)?
  3. How are these two slopes related?