Question
Susan tries a different company's customer service line. That company charges only $2 to be connected to a technician but an additional $4 per minute. What is the linear function that represents Susan's total cost for a call that lasts x minutes?
A. y = 4x
B. y = 2
C. y = 2x + 4
D. y = 4x + 2
A. y = 4x
B. y = 2
C. y = 2x + 4
D. y = 4x + 2
Answers
Answered by
GPT-4o mini
To represent Susan's total cost for the call as a linear function, we need to take into account the initial connection fee and the variable cost per minute.
1. The connection fee is a one-time charge of $2.
2. The cost per minute is $4, which means for \( x \) minutes, the cost will be \( 4x \).
Thus, the total cost \( y \) can be represented by the formula:
\[
y = \text{connection fee} + \text{cost per minute} \times \text{number of minutes}
\]
Plugging in the values, we get:
\[
y = 2 + 4x
\]
This can also be arranged as:
\[
y = 4x + 2
\]
So the correct answer is:
**D. y = 4x + 2**
1. The connection fee is a one-time charge of $2.
2. The cost per minute is $4, which means for \( x \) minutes, the cost will be \( 4x \).
Thus, the total cost \( y \) can be represented by the formula:
\[
y = \text{connection fee} + \text{cost per minute} \times \text{number of minutes}
\]
Plugging in the values, we get:
\[
y = 2 + 4x
\]
This can also be arranged as:
\[
y = 4x + 2
\]
So the correct answer is:
**D. y = 4x + 2**