The total cost C of the electrician's services can be represented by the equation:
C = 50 + t * hourly rate
Since the electrician earned $400 for a 5-hour job, we can substitute these values into the equation:
400 = 50 + 5 * hourly rate
Simplifying the equation, we have:
400 - 50 = 5 * hourly rate
350 = 5 * hourly rate
Dividing both sides by 5, we find:
hourly rate = 350 / 5 = 70
Therefore, the equation for C, in terms of t, is:
C = 50 + 70t
An electrician charges a set fee of $50 for every house call and then charges an additional hourly rate. One day, the electrician earned a total of $400 for a 5 hour job. Write an equation for C, in terms of t, representing the total cost of the electrician's services if the electrician spends t hours at the house working.
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