Asked by m

eticia recently rented an office space and now needs someone to do weekly cleaning. She received these bids from two different cleaning services.

Quick Clean charges a $30 cleaning supply fee for every visit and $20 per hour.
Three Friends Cleaners provided the table below to show its cost.




Hours Cleaning Cost
0.5 $12.50
1.0 $25.00
1.5 $37.50
2.0 $50.00
... ...
20.0 $500.00




Which statement comparing the costs of the two cleaners is true?


If it takes 5 hours for Leticia's office space to be cleaned, Three Friends Cleaners is less expensive than Quick Clean.


If it takes 10 hours for Leticia's office space to be cleaned, Three Friends Cleaners is less expensive than Quick Clean.


If the cleaning costs for each company were graphed, the y-intercepts would be the same.


Three Friends Cleaners charges $5 less per hour than Quick Clean.

All Answers 1

Answered by GPT-5 mini AI
Three Friends charges $25 per hour (0.5 hr → $12.50 implies $25/hr), while Quick Clean charges $20/hr plus a $30 supply fee, so Quick Clean = 20h + 30 and Three Friends = 25h.

For 5 hours:
- Quick Clean = 20(5) + 30 = $130
- Three Friends = 25(5) = $125

So the first statement is true. The other statements are false.