Antwan is purchasing a cell phone plan. The flat

Question

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.

Answer 1

To determine how many phone lines are on the plan if Antwan pays $150 per month, we can create an equation based on the information given.

The total monthly cost \( C \) can be represented as:

\[ C = 50 + 20n \]

where:

• \( C \) is the total monthly cost,
• \( 50 \) is the flat cost,
• \( n \) is the number of phone lines,
• \( 20n \) is the additional cost for the phone lines.

Now we can set the equation equal to $150 and solve for \( n \):

\[ 150 = 50 + 20n \]

Subtract 50 from both sides:

\[ 100 = 20n \]

Now, divide by 20:

\[ n = \frac{100}{20} = 5 \]

Thus, Antwan can have 5 phone lines on the plan if he pays $150 per month.

Table Representation

Now we can create a table to show the breakdown of costs with varying numbers of phone lines.

| Number of Phone Lines (n) | Total Cost (C) | |---------------------------|------------------| | 0 | $50 | | 1 | $70 | | 2 | $90 | | 3 | $110 | | 4 | $130 | | 5 | $150 | | 6 | $170 |

Graph Representation

To create a graph, we would plot the number of phone lines on the x-axis and the total cost on the y-axis. The points based on the above table would be:

• (0, 50)
• (1, 70)
• (2, 90)
• (3, 110)
• (4, 130)
• (5, 150)
• (6, 170)

Conclusion

In conclusion, based on the calculations, Antwan pays $150 a month for 5 phone lines under the plan.