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?

Question

A. y = 4x

B. y = 2

C. y = 2x + 4

D. y = 4x + 2

Answer 1

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