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. -The expression 50ℎ represents the total charge for Rock the House Digital Designs.
-The expression 75ℎ represents the total charge for Elegance Home Architects.
-The cost for using Rock the House Digital Designs for an initial consultation only is $550.
-If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.
-If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.