The Johnson family is 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 Johnson family, 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 ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.
Answers
Given : Rock the House Digital Designs charges $500.00 for the initial consultation 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.
To find : Which of the following statements are true .
1. The expression 50ℎ represents the total charge for Rock the House Digital Designs.
2. The expression 75ℎ represents the total charge for Elegance Home Architects.
3. The cost for using Rock the House Digital Designs for an initial consultation only is $550.
4. If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.
5. If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.
Solution:
total charge for Rock the House Digital Designs. = 500 + 50h
Hence The expression 50ℎ represents the total charge for Rock the House Digital Designs. is FALSE
Elegant Home Architects charge = 75h
Hence The expression 75ℎ represents the total charge for Elegance Home Architects. is TRUE
The cost for using Rock the House Digital Designs for an initial consultation only is $500.
Hence The cost for using Rock the House Digital Designs for an initial consultation only is $550. is FALSE
For 15 hrs
charge for Rock the House Digital Designs. = 500 + 50(15) = 1250 $
charge for Elegant Home Architects = 75 * 15 = 1125 $
Elegant Home Architects is cheaper
Hence If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper. - TRUE
For 15 hrs
charge for Rock the House Digital Designs. = 500 + 50(40) = 2500 $
charge for Elegant Home Architects = 75 * 40 = 3000 $
Rock the House Digital Designs is cheaper
Hence If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.TRUE
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