a. A 4-hour job costs $214. b. If the technician works 2 days, averaging 6 hours/day, the overall cost is $612. c. For costs of $76, $513, and $1000, the technician worked approximately 1.17 hours, 10.76 hours, and 21 hours (rounded).
a. Cost of a 4-hour Job:
-

- A 4-hour job will cost $214.
b. Overall Cost for 2 Days (6 hours per day):
-
.
- The overall cost for two days, averaging 6 hours per day, is $612.
c. Finding Hours Worked for Given Costs:
i.
.
- Solve for x:
hours.
ii. 513 = 30 + (x × 46).
- Solve for x:
hours.
iii. 1000 = 30 + (x × 46).
- Solve for x:
hours.
- Rounded to the nearest half hour,
hours.
Therefore, for the given costs:
i.
hours,
ii.
hours, and
iii.
hours.
The complete question is:
A service technician charges $30 up front and $46 for each hour that he works.
a. What will a 4-hour job cost?
b. If the technician works on a job for 2 days and averages 6 hours per day, what will be the overall cost?
c. Find how many hours the technician worked if the cost is:
i. $76
ii. $513
iii. $1000 (round to the nearest half hour).