Options
A. Caroline rents exactly 7 games each month.
B. Caroline rents exactly 6 games each month.
C. Caroline rents 6 or more games each month.
D. Caroline rents from 1 to 5 games each month.
Answer:
D. Caroline rents from 1 to 5 games each month.
Step-by-step explanation:
Given
Plan A:
[tex]C = 2n[/tex]
Plan B:
[tex]C = n + 6[/tex]
Required
Which options justifies A over B
The solution to this question is option (d).
In option d, n = 1,2,3,4,5
When any of the values of n is substituted in plan A and B, respectively; the cost of plan A is cheaper than plan B.
This is not so, for other options (A - C)
To show:
Substitute 1 for n in A and B
Plan A:
[tex]C = 2n[/tex] [tex]= 2 * 1 = 2[/tex]
Plan B:
[tex]C = n + 6[/tex] [tex]= 1 + 6 = 7[/tex]
Substitute 5 for n in A and B
Plan A:
[tex]C = 2n[/tex] [tex]= 2 * 5 = 10[/tex]
Plan B:
[tex]C = n + 6[/tex] [tex]= 5 + 6 = 11[/tex]
See that A < B
