Question

A cell phone company charges a flat fee plus an additional charge per minute. If the graph contains the points (0,15)
(
0
,
15
)
and (50,90)
(
50
,
90
)
, what is the fee the company charges per minute? Give your answer in exact change.(1 point)
The charge per minute is $.

Answer 1

To find the fee the company charges per minute, we can analyze the two points given:

1. The point (0, 15) represents that when no minutes are used (0 minutes), the total charge is $15. This is the flat fee.
2. The point (50, 90) means that for 50 minutes of usage, the total charge is $90.

Let \( m \) be the charge per minute. We can set up the following equation based on this information:

1. For 0 minutes:
\[
\text{Total charge} = 15
\]

2. For 50 minutes:
\[
\text{Total charge} = 15 + 50m = 90
\]

Now, we can solve for \( m \):

\[
15 + 50m = 90
\]

Subtract 15 from both sides:

\[
50m = 75
\]

Now, divide both sides by 50:

\[
m = \frac{75}{50} = \frac{3}{2} = 1.50
\]

Thus, the charge per minute is $1.50.