Question
a cell phone company charged a flat fee plus an additional charge per minute. if the graph contains the pound (0,15) and (50,90) what is the fees charge per minute
Answers
GPT-4o mini
To find the charge per minute for the cell phone plan, we can use the information provided by the points (0, 15) and (50, 90) on the graph.
The first point (0, 15) represents the scenario where the number of minutes used is 0. The charge at this point is the flat fee, which is $15.
The second point (50, 90) indicates that when 50 minutes are used, the total charge is $90.
Now, we can set up the equation to find the charge per minute:
1. **Flat fee** = $15
2. **Total charge for 50 minutes** = $90
Let \( x \) be the charge per minute.
The equation can be set up as follows:
\[
\text{Total Charge} = \text{Flat Fee} + (\text{Charge per Minute} \times \text{Minutes Used})
\]
\[
90 = 15 + 50x
\]
Now, we can solve for \( x \):
1. Subtract the flat fee from both sides:
\[
90 - 15 = 50x
\]
\[
75 = 50x
\]
2. Now divide by 50:
\[
x = \frac{75}{50} = 1.5
\]
So, the charge per minute is **$1.50**.
The first point (0, 15) represents the scenario where the number of minutes used is 0. The charge at this point is the flat fee, which is $15.
The second point (50, 90) indicates that when 50 minutes are used, the total charge is $90.
Now, we can set up the equation to find the charge per minute:
1. **Flat fee** = $15
2. **Total charge for 50 minutes** = $90
Let \( x \) be the charge per minute.
The equation can be set up as follows:
\[
\text{Total Charge} = \text{Flat Fee} + (\text{Charge per Minute} \times \text{Minutes Used})
\]
\[
90 = 15 + 50x
\]
Now, we can solve for \( x \):
1. Subtract the flat fee from both sides:
\[
90 - 15 = 50x
\]
\[
75 = 50x
\]
2. Now divide by 50:
\[
x = \frac{75}{50} = 1.5
\]
So, the charge per minute is **$1.50**.