you recently started the paperwork to purchase your new home, and were just notified that you can move into the house in 2 weeks.

Question

You decide to hire a moving company, but are unsure which company to choose. You search online and are interested in contacting two companies, Heavy Lifting and Quick Move, to discuss their rates. Heavy Lifting charges an $80 fee plus $35 per hour.

Quick Move charges $55 per hour with no additional fees.Which mover provides a better deal for 2 hours of work? How did you arrive at your answer?

Which mover provides a better deal for 15 hours of work? How did you arrive at your answer?

For what values h (hours) does Quick Move offer the better deal? Express your answer as an inequality. Explain how you reached your answer.

Answer 1

In the first two questions, you need to find out how much each company charges for the number of hours of work.  Then you can add any extra fees on top of what your answer for each company is.  Whichever company you can get the cheapest would be the better deal.

For the third question, you figure up the rates similar to the first two, since you know that at some point Quick Move doesn't offer the better deal, you need to find where who gives the better deal changes.  Your inequality would be h < x or h > x where x is the number of hours at which the better deal changes.  If Quick Move is the better deal up to 100 hours, h < 100 would be when Quick Move is the better deal.