Question

question an electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job takes. the total cost of the electricians services can be determined using the equation c = 50t + 100, where t is the number of hours the electrician spends at the house working. what is the slope of the equation and what is its interpretation in the context of the problem? answer attempt 1 out of 2 the slope of the function is which represents

Explanation:

Step1: Recall the slope - intercept form

The equation of a line in slope - intercept form is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept.

Step2: Identify the slope in the given equation

In the equation \(C = 50t+100\), comparing it with \(y = mx + b\) (here \(C\) is like \(y\) and \(t\) is like \(x\)), the coefficient of \(t\) is \(m\). So, \(m = 50\).

Step3: Interpret the slope

The slope \(m = 50\) represents the rate of change. In the context of the problem, since \(C\) is the total cost and \(t\) is the number of hours, the slope \(50\) represents the hourly rate.

Answer:

The slope of the function is \(50\), which represents the hourly rate the electrician charges.