Jabari is power washing houses for a summer job. For every job, he charges an initial fee plus
$
30
$30dollar sign, 30 for each hour of work. His total fee for a
4
44-hour job, for instance, is
$
170
$170dollar sign, 170.
Jabari's total fee,
f
ff, for a single job is a function of the number,
t
tt, of hours it takes him to complete the job.
Correct question:
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.
Answer: f=30t+50.
Explanation:
Given:
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.
For every job, he charges an initial fee plus $30 for each hour of work.
Let m be his initial fee.
Then f=30t+m. (1)
Also, his total fee for a 4-hour job, for instance, is $170.
Put t=4 and f=170 in (1), we get
170=30*4+m;
170=120=m;
m=170-120;
m=50.
Now, put m=50 in the (1), we get the function's formula for Jabari's total fee:
f=30t+50.