Question

an electrician charges a fee of $60 plus $45 per hour. let y be the cost in dollars of using the electrician for x hours. find the slope - intercept form of the equation.
○ y = 45x + 60
○ y = 60x + 45
○ y = 45x - 60
○ y = 60x - 45

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope (rate of change) and \(b\) is the y - intercept (initial value).

Step2: Identify \(m\) and \(b\)

In the problem, the electrician charges a fee of $60 (this is the initial cost, so LXI0) and $45 per hour (this is the rate of change, so \(m = 45\) since the cost per hour is the slope).

Step3: Form the equation

Substitute \(m = 45\) and \(b = 60\) into the slope - intercept form \(y=mx + b\). We get \(y = 45x+60\).

Answer:

\(y = 45x + 60\) (the first option)