Jabari is power washing houses for a summer job. for every job, he charges an initial fee plus $30 for each hour of work. his total fee for a 4 -hour job, for instance, is $170 . jabari's total fee, f, for a single job is a function of the number, t, of hours it takes him to complete the job. write the function's formula.
f(t) = 50 + 30t
Let, Jabari's total fee = f (in dollars) and the time taken per hour = t
Let, the initial fee charged = x dollars.
It is given that, $30 is charged per hour for his work.
As, the total fee charged for 4 hour job is 170.
We get the equation,
Initial fee + 30 × 4 = 170
i.e. x + 120 = 170
i.e. x= 170 - 120
i.e. x = 50
Thus, the initial fee is $50
So, Jabari's total fee is given by,
f(t) = Initial fee + 30 × Fee per hour
i.e. f(t) = 50 + 30t
Hence, the function formula for the given situation is f(t) = 50 + 30t.
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