Answer:
The correct statements are (a), (c) and (d).
Step-by-step explanation:
The information provided is:
- 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.
- The variable <em>h</em> represent the number of hours for which Mr. and Mrs. Nelson hire the design firm.
The total charge for Elegance Home Architects, if the Nelsons choose them will be:
Total for Elegance = 75 × <em>h</em> = 75<em>h</em>.
Suppose the Nelsons hire the design firm for 15 hours.
Total for Elegance = 75 × <em>h</em> = 75 × 15 = $1,125
Total for Rock = 500 + (50 × <em>h</em>) = 500 + (50 × 15) = $1,250
So, the Elegance Home Architects will be cheaper.
Suppose the Nelsons hire the design firm for 25 hours.
Total for Elegance = 75 × <em>h</em> = 75 × 25 = $1,875
Total for Rock = 500 + (50 × <em>h</em>) = 500 + (50 × 25) = $1,750
So, the Rock the House Digital Designs will be cheaper.
Thus, the correct statements are (a), (c) and (d).
