Question
A cell phone company charges a flat fee plus an additional charge per minute. If the graph contains the points (0, 15) and (50, 90), what is the fee the company charges per minute? Give your answer in exact change. (1 point)
Answers
GPT-4o mini
To determine the fee the company charges per minute, we can use the two points provided: (0, 15) and (50, 90).
1. The point (0, 15) indicates that when there are 0 minutes used, the cost is $15. This is the flat fee the company charges.
2. The point (50, 90) indicates that when 50 minutes are used, the cost is $90.
Let's denote the flat fee as \( F \) and the cost per minute as \( C \). From the point (0, 15), we know:
\[ F = 15 \]
From the point (50, 90), we can set up the equation:
\[ F + 50C = 90 \]
Substituting \( F = 15 \) into the equation gives us:
\[ 15 + 50C = 90 \]
Now, subtracting 15 from both sides:
\[ 50C = 90 - 15 \]
\[ 50C = 75 \]
Next, divide both sides by 50 to solve for \( C \):
\[ C = \frac{75}{50} = \frac{3}{2} = 1.50 \]
Thus, the company charges a fee of **$1.50 per minute**.
1. The point (0, 15) indicates that when there are 0 minutes used, the cost is $15. This is the flat fee the company charges.
2. The point (50, 90) indicates that when 50 minutes are used, the cost is $90.
Let's denote the flat fee as \( F \) and the cost per minute as \( C \). From the point (0, 15), we know:
\[ F = 15 \]
From the point (50, 90), we can set up the equation:
\[ F + 50C = 90 \]
Substituting \( F = 15 \) into the equation gives us:
\[ 15 + 50C = 90 \]
Now, subtracting 15 from both sides:
\[ 50C = 90 - 15 \]
\[ 50C = 75 \]
Next, divide both sides by 50 to solve for \( C \):
\[ C = \frac{75}{50} = \frac{3}{2} = 1.50 \]
Thus, the company charges a fee of **$1.50 per minute**.