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

Question

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

c) 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

made an error that was not the quaestion

Answer 2

Please ask the real question then

Answer 3

I resubmitted the question.

Answer 4

A car rental agency charges $120 per week plus $.12 per mile driven. How many miles did you drive if the total charge is $162?

Answer 5

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Answer 6

To determine for what values of hours Quick Move offers the better deal, we need to compare the costs of both companies.

Let's assume that the total cost of using Heavy Lifters is given by the function C_h(h), where h represents the number of hours. According to the information provided, Heavy Lifters charges an $80 fee plus $35 per hour. Therefore, the cost function can be written as:

C_h(h) = 80 + 35h

On the other hand, the total cost of using Quick Move is given by the function C_q(h), where q represents the number of hours. According to the information provided, Quick Move charges $55 per hour with no additional fees. Therefore, the cost function can be written as:

C_q(h) = 55h

To determine for what values of h Quick Move offers a better deal, we need to find when the cost of using Quick Move is lower than the cost of using Heavy Lifters. Mathematically, this can be written as:

C_q(h) < C_h(h)

Substituting the cost functions, we have:

55h < 80 + 35h

To simplify this inequality, we can subtract 35h from both sides:

20h < 80

Next, we divide both sides by 20:

h < 80/20

Simplifying further:

h < 4

Therefore, for values of h less than 4 hours, Quick Move offers the better deal. To express this in terms of an inequality, we can write:

h < 4

= 1 + 2