11. Jamia is deciding between two long-distance telephone plans:
- Plan A charges $\$ 5$ per month plus $6 \phi / \mathrm{min}$.
- Plan B charges $\$ 20$ per month plus $1 \phi / \mathrm{min}$.
Jamia usually makes about $200 \mathrm{~min}$ of long distance calls each month. Which plan costs less? Show your calculations.
Answer
Comparing the costs, we find that \(\boxed{\text{Plan A}}\) costs less, with a total cost of \(\boxed{17}\) compared to Plan B's total cost of \(\boxed{22}\) for 200 minutes of long-distance calls.
Step 1 ：Let's calculate the cost of each plan for 200 minutes of long-distance calls:
Step 2 ：Plan A: \(cost = 5 + 0.06 \times 200\)
Step 3 ：Plan B: \(cost = 20 + 0.01 \times 200\)
Step 4 ：Calculating the costs:
Step 5 ：Plan A: \(cost = 5 + 12 = 17\)
Step 6 ：Plan B: \(cost = 20 + 2 = 22\)
Step 7 ：Comparing the costs, we find that \(\boxed{\text{Plan A}}\) costs less, with a total cost of \(\boxed{17}\) compared to Plan B's total cost of \(\boxed{22}\) for 200 minutes of long-distance calls.
