Question

An electrician charges a fee of ​$40 plus ​$25 per hour. Let y be the cost in dollars of using the electrician for x hours. Find the​ slope-intercept form of the equation.
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Part 1
A.
y​ = 25x negative 40
B.
y​ = 40x plus 25
C.
y​ = 25x plus 40
D.
y​ = 40x negative 25

Answer 1

To find the slope-intercept form of the equation for the cost \( y \) of using the electrician for \( x \) hours, we start with the cost structure provided.

The electrician charges:

- A fixed fee of $40
- An hourly rate of $25 per hour

The total cost equation can be expressed as:

\[
y = \text{(fixed fee)} + \text{(hourly rate)} \times \text{(number of hours)}
\]

Substituting the values, we have:

\[
y = 40 + 25x
\]

In the slope-intercept form \( y = mx + b \) (where \( m \) is the slope and \( b \) is the y-intercept), we identify:

- \( m = 25 \) (the rate per hour)
- \( b = 40 \) (the fixed fee)

Thus, the equation in slope-intercept form is:

\[
y = 25x + 40
\]

Therefore, the correct answer is:

**C. \( y = 25x + 40 \)**