The graph and the table show the total costs of two different summer programs, y, as functions of the
number of classes, *.
Canoeing Program:
Number of Classes
1
2
3
4
Total Cost ($)
32
44
56
68
Compare the costs for the two programs.
When the number of classes is ?
fishing is less expensive.
When the number of classes is
canoeing is less expensive.
1 or 2
3 or 4
1, 2, or 3
2, 3, or 4
Total Cost ($)
90+y
80
70
60
50
30
20
10
0
O
●
2 3
4
5
Fishing Program
6
Number of Classes
7 8
O
2 3
4
5
6
7 8
Number of Classes
Answer: When the number of classes is 1 or 2, fishing is less expensive. When the number of classes is 3 or 4, canoeing is less expensive.
To compare the costs for the two programs:
1. When the number of classes is 1 or 2, fishing is less expensive.
2. When the number of classes is 3 or 4, canoeing is less expensive.
Here is the breakdown of the total costs for each program:
Canoeing Program:
- Number of Classes: 1
- Total Cost ($): 32
- Number of Classes: 2
- Total Cost ($): 44
- Number of Classes: 3
- Total Cost ($): 56
- Number of Classes: 4
- Total Cost ($): 68
Fishing Program:
- Number of Classes: 1
- Total Cost ($): 90 + y
- Number of Classes: 2
- Total Cost ($): 80
- Number of Classes: 3
- Total Cost ($): 70
- Number of Classes: 4
- Total Cost ($): 60
Based on the given information, the fishing program is initially more expensive (total cost of 90 + y) compared to the canoeing program. However, when the number of classes for fishing is 1 or 2, it becomes less expensive than canoeing. And when the number of classes for fishing is 3 or 4, canoeing remains less expensive.