Question

Mr. and Mrs. Nelson are going to build a new home. They need to have working drawings of their house plans created by a design firm.

They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for
the initial consultation with the Nelsons, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge
$75.00 per hour for the house plans. Let a represent the number of hours for which Mr. and Mrs. Nelson hire the design firm. Which of the
following statements are true? Select all that apply.

Answer 1

Options 2), 4), and 5) are correct

Explanation:

Rock the House Digital Designs

• Cost = $(500 + 50h)

Elegant Home Architects

• Cost = $(75h)

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Answer options:

1)The expression 50h represents the total charge for Rock the House Digital Designs.

• Incorrect. Additional $500 charged.

2)The expression 75h represents the total charge for Elegance Home Architects.

• Correct

3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.

• Incorrect. They will choose one of the options.

4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.

• Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $1250

5)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.

• Correct. It will cost 500+25*50 = $1750. Alternative cost is 25*75 = $1875