Question

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. Using a table and graph, determine how many phone lines are on the plan if Antwan pays $150 per month.(1 point)
Responses

7
7

5
5

6
6

2

Answer 1

To determine how many phone lines Antwan can have with his cell phone plan for $150 per month, we can set up a simple equation based on the information provided.

Let \( x \) be the number of phone lines.

The total monthly cost can be calculated with the formula:
\[ \text{Total Cost} = \text{Flat Cost} + (\text{Cost per Line} \times \text{Number of Lines}) \]

In this case, the flat cost is $50, the cost per line is $20, and the total cost is $150.
So, we have:
\[
150 = 50 + 20x
\]

Now, let's solve for \( x \):
\[
150 - 50 = 20x \\
100 = 20x \\
x = \frac{100}{20} \\
x = 5
\]

Antwan can have **5 phone lines** on his plan if he pays $150 per month.

### Table of Costs
| Number of Phone Lines (x) | Total Cost ($) |
|---------------------------|--------------------|
| 0 | 50 |
| 1 | 50 + 20(1) = 70 |
| 2 | 50 + 20(2) = 90 |
| 3 | 50 + 20(3) = 110 |
| 4 | 50 + 20(4) = 130 |
| 5 | 50 + 20(5) = 150 |
| 6 | 50 + 20(6) = 170 |
| 7 | 50 + 20(7) = 190 |

### Graph
On a graph, you can plot the number of phone lines (x-axis) against the total cost (y-axis). The graph will show a linear relationship, starting at $50 (when there are 0 lines) and increasing by $20 for each additional line.

### Final Answer:
Antwan can have **5 phone lines** on his plan if he pays $150 per month.