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.

Question

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.

make this like a 7th grader wrote it

Answer 1

Sure! Here’s a simplified version suitable for a 7th grader:

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To find out how many phone lines Antwan has on his plan when he pays $150 a month, we can make an equation.

The total cost \( C \) can be written like this:

\[ C = 50 + 20n \]

Here’s what the parts mean:

• \( C \) is the total money he pays each month.
• $50 is the basic fee.
• \( n \) is the number of phone lines he has.
• \( 20n \) is how much money he pays for all the extra phone lines.

So, we can set up the equation:

\[ 150 = 50 + 20n \]

First, we need to get rid of the $50 on the right side. We do that by subtracting 50 from both sides:

\[ 100 = 20n \]

Now, to find out how many phone lines \( n \) he has, we divide both sides by 20:

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

So, Antwan has 5 phone lines on his plan if he pays $150 each month!

Cost Breakdown Table

Let’s create a table to show how much Antwan would pay with different 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 |

Making a Graph

Now, if we wanted to make a graph, we would put the number of phone lines on the bottom (x-axis) and the total cost on the side (y-axis). Here are the points we would use based on our table:

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

Conclusion

So, in summary, if Antwan pays $150 a month, he gets 5 phone lines!