Antwan is purchasing a cell phone plan. The flat cost of the plan is $50.00 per month, and there is an additional fee of $20.00 per phone line. Which table correctly displays the monthly cost of the phone plan based on the number of phone lines?(1 point)

Responses

Number of Phone Lines Cost of the Plan ($)
0 20
1 40
2 60
3 80
4 100
Number of Phone Lines Cost of the Plan ($) 0 20 1 40 2 60 3 80 4 100

Cost of the Plan ($) Number of Phone Lines
20 0
40 1
60 2
80 3
100 4
Cost of the Plan ($) Number of Phone Lines 20 0 40 1 60 2 80 3 100 4

Number of Phone Lines Cost of the Plan ($)
0 50
1 70
2 90
3 110
4 130
Number of Phone Lines Cost of the Plan ($) 0 50 1 70 2 90 3 110 4 130

Cost of the Plan ($) Number of Phone Lines
20 1
40 2
60 3
80 4
100 5

1 answer

To calculate the monthly cost of Antwan's phone plan based on the number of phone lines, we can use the formula:

Total Cost = Flat Cost + (Cost per Line × Number of Lines)

Given that the flat cost is $50.00 per month and each additional phone line costs $20.00, the formula can be expressed as:

Total Cost = 50 + 20 × (Number of Lines)

Now, let's calculate the costs for different numbers of phone lines:

  • For 0 lines: Total Cost = 50 + 20 × 0 = 50
  • For 1 line: Total Cost = 50 + 20 × 1 = 70
  • For 2 lines: Total Cost = 50 + 20 × 2 = 90
  • For 3 lines: Total Cost = 50 + 20 × 3 = 110
  • For 4 lines: Total Cost = 50 + 20 × 4 = 130

Now we can see which table matches our calculated values:

  1. Table 1:
    • 0 lines: 20
    • 1 line: 40
    • 2 lines: 60
    • 3 lines: 80
    • 4 lines: 100

This table does not match.

  1. Table 2:
    • 0 lines: 20
    • 1 line: 40
    • 2 lines: 60
    • 3 lines: 80
    • 4 lines: 100

This table does not match.

  1. Table 3:
    • 0 lines: 50
    • 1 line: 70
    • 2 lines: 90
    • 3 lines: 110
    • 4 lines: 130

This table matches our calculated values.

  1. Table 4:
    • 1 line: 20
    • 2 lines: 40
    • 3 lines: 60
    • 4 lines: 80
    • 5 lines: 100

This table does not match.

Therefore, the correct table that displays the monthly cost of the phone plan based on the number of phone lines is Table 3:

| Number of Phone Lines | Cost of the Plan ($) | |-----------------------|----------------------| | 0 | 50 | | 1 | 70 | | 2 | 90 | | 3 | 110 | | 4 | 130 |