SOLUTION: a washing machine technician charges $27 for the first half hour and $18 for each hour or part thereafter. how long did the technician work if the bill did not exceed $100?

Question 163078This question is from textbook
: a washing machine technician charges $27 for the first half hour and $18 for each hour or part thereafter. how long did the technician work if the bill did not exceed $100? This question is from textbook

Answer by joecbaseball(37) (Show Source): You can put this solution on YOUR website!
Let x = 30 minute (or part of) work period after the first 30 minutes.
Then the job will cost $27 + $18x, depending on how long the job lasts.
You need to keep the job under (or less than) $100, so your equation would be:
27 + 18x < 100. Now solve for x:
Subtract 27 from both sides to get:
18x < 73.
Divide both sides by 18 to solve for x to get:
x < 73/18, or x < 4.0555, but x has to be a whole number, so the first whole number less that this is 4.
So, how long did the technician work?
The first half hour at $27 dollars UP TO 4 more half hour segments. The problem did not ask for what is the most amount of time could be worked, so the answer could be:
1 hour,
1 � hours,
2 hours,
2 � hours, or
3 hours !
Good luck !
JoeC

RELATED QUESTIONS
a washing machine technician charges $27 for the first half hour and $18 for each half... (answered by joecbaseball)

a washing machine technician charges $27 for the first hakf hour and $18 for each half... (answered by paige)

An appliance repairman charges a flat fee of $35 plus $28 for every hour worked. If the... (answered by richard1234)

Parking in a student lot cost $2 for the first half hour and $1.25 for each hour... (answered by fractalier)

A motor cycle helmet forming machine can make 100 helmets in a day. If the first machine... (answered by richwmiller)

Company A charges $45 for the first half hour of work and $23 for each additional half... (answered by Mathtut)

Mack's Parking Garage charges $4.00 for the first hour and $2.50 for each additional... (answered by oscargut)

Mack's Parking Garage charges $4.00 for the first hour and $2.50 for each additonal hour. (answered by checkley77,MathTherapy)

Your washing machine has stopped working. Acme Repair charges $100 for a service call... (answered by nerdybill)