Answer:
1. See below for the table
2a. Early Pay: y = 45
2b. Deposit Plus: y = 12 + 4x
2c. Daily Pay: y = 6x
3. See the second attachment for a graph.
Explanation:
1. The deposit (Deposit Plus) and the flat rate (Early Pay) are paid whether or not any days are spent swimming. For Early Pay, there are no additional charges, so the total cost is the same regardless of the number of days spent swimming.
For Deposit Plus, the $4 per day cost will add $20 for each 5 swimming days.
For Daily Pay, the $6 per day cost will add $30 for each 5 swimming days.
2. As described above, the Early Pay and Deposit Plus have charges when the number of swimming days is zero. The Daily Pay does not. The Deposit is only paid once, not each day.
a. Early Pay: y = 45
b. Deposit Plus: y = 12 + 4x
c. Daily Pay: y = 6x
3. The above equations are graphed in the second attachment. You will note that the plan that results in a minimum charge depends on the number of swimming days.