Question

jabari is power washing houses for a summer job.for every job,he charges and initial fee plus 30$ for each hour of work.his total fee for a 4-hour jobfor instince ,is 170 jabari's total fee,f, for a single job is a fuction of the number,t, of the hours it takes him to complete the job write the formula

Answer 1

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 = 50 + 30t is the function formula for total fee of Jabari

Solution:

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)

`f= x + 30t`

Thus the function formula is found

Find the initial fee:

Given that,

His total fee for a 4 -hour job, for instance, is $170

Therefore,

t = 4

f = 170

Thus we get,

`170 = x + 30(4)\\\\170 = x + 120\\\\x = 170 - 120\\\\x = 50`

Thus the formula becomes,

`f = 50+30t`

Thus the total fee is a function of number of hours it takes him to complete the job