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<h3><u>Question:</u></h3>
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 $170 . Jabari's total fee,f, for a single job is a function of the number,t, of hours it takes him to complete the job. Write the function's formula.
<h3><u>Answer:</u></h3>f = 50 + 30t is the function formula for total fee of Jabari
<h3><u>Solution:</u></h3>Let the initial fee be "x"
Let "t" be the number of hours invested in that work
Let "f" be the total fee of Jabari
He charges and initial fee plus 30$ for each hour of work
Therefore, total fee is given as:
Total fee = initial fee + 30(number of hours)
Thus the function formula is found
<h3><u>Find the initial fee:</u></h3>Given that,
His total fee for a 4 -hour job, for instance, is $170
Therefore,
t = 4
f = 170
Thus we get,
<em><u>Thus the formula becomes,</u></em>
Thus the total fee is a function of number of hours it takes him to complete the job