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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 $c = 65 + 60t$, 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 linear function form
The given equation $C = 65 + 60t$ follows the linear form $y = b + mx$, where $m$ is the slope.
Step2: Match to find slope
Comparing $C = 65 + 60t$ with $y = b + mx$, the slope $m = 60$.
Step3: Interpret slope context
In this cost function, $t$ is hours worked, so the slope is the hourly rate.
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The slope of the function is $60$, which represents the electrician's hourly charge (cost per hour of work).