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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 $c = 5 + 60t$, 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 2 out of 2
the slope of the function is $square$ which represents
Step1: Identify slope-intercept form
The given equation $C = 75 + 60t$ follows the slope-intercept form $y = b + mx$, where $m$ is the slope.
Step2: Match to find slope
In $C = 75 + 60t$, the coefficient of $t$ is the slope.
Step3: Interpret the slope
The slope represents the rate of change of total cost with respect to time.
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The slope of the function is $60$, which represents the electrician's hourly rate (the amount the total cost increases by for each additional hour of work).