SOLUTION: My problem is: Parts for an automobile repair cost $175. The mechanic charges $34 per hour. If you receive an extimate for at least $226 and at most $294 for fixing the car what

Algebra ->  Inequalities -> SOLUTION: My problem is: Parts for an automobile repair cost $175. The mechanic charges $34 per hour. If you receive an extimate for at least $226 and at most $294 for fixing the car what      Log On


   

Question 154647This question is from textbook blitzer
: My problem is:
Parts for an automobile repair cost $175. The mechanic charges $34 per hour. If you receive an extimate for at least $226 and at most $294 for fixing the car what is the time interval that the mechanic will be working on the job?
Thanks,
Tammy This question is from textbook blitzer

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Total charges=Repair cost$ + labor ($/hr)
Total charges=Repair cost + $34/hr------------> working eqn
: Take note the cost is constant and it only varies on the labor that depends on how many hours it will take to fix. But that's no problem since the estimate is given, we can calculate how many hours, oks.
For $226 total cost:
226=175%2B%2834%2Fhr%29
%28226-175%29%2F%2834%2Fhr%29=0
51%2F34=hr
hr=1.5
For $294 total cost:
294=175%2B%2834%2Fhr%29
%28294-175%29%2F%2834%2Fhr%29=0
119%2F34=hr
hr=3.5
In doubt? Let's check it out:
For $226:
226=175%2B%2834%2Fcross%28hr%29%29%2A%281.5cross%28hr%29%29
226=175%2B51
226=226
For $294:
294=175%2B%2834%2Fcross%28hr%29%29%2A%283.5cross%28hrs%29%29
294=175%2B119
294=294
There you go, it will take 1-1/2 to 3-1/2 hours for the labor.
Thank you,
Jojo