Question

an electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job takes. let c represent the total visit when the electrician spends t hours at the house working. a graph of c is shown below. write an equation for c then state the slope of the gr determine its interpretation in the context of the problem. answer attempt 1 out of 2 c = the slope of the function is which represents

Explanation:

Step1: Find the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Step2: Identify two points

From the graph, we can take two points \((0,100)\) and \((5,350)\).

Step3: Calculate the slope

\(m=\frac{350 - 100}{5 - 0}=\frac{250}{5}=50\).

Step4: Write the equation in slope - intercept form

The slope - intercept form is \(C = mt + b\), where \(b\) is the \(y\) - intercept. Here \(b = 100\) and \(m = 50\), so \(C=50t + 100\).

Answer:

The equation for \(C\) is \(C = 50t+100\). The slope of the function is \(50\), which represents the hourly rate that the electrician charges.