Answer:
The expression 75ℎ represents the total charge for Elegance Home Architects.
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.
Step-by-step explanation:
Given the following :
Rock the house digital designs :
Initial consultation charge = $500
Additional hour of work for house plan = $50 /hr
Elegant Home Architect:
Charge = $75 / hr
h = number of hours fro which Johnson's family hires the design firm
Total amount charged by Elegant home Architect = 75 × h = 75h
Total amount charged by Rock the house digital design = (500 + 50h)
If h = 15 hours :
Total amount charged by Elegant home Architect = 75 × 15 = $1,125
Total amount charged by Rock the house digital design = (500 + 50(15)) = 500 + 750 = $1,250
Hence, Elegant home Architect is cheaper.
If h = 40 hours :
Total amount charged by Elegant home Architect = 75 × 40 = $3,000
Total amount charged by Rock the house digital design = (500 + 50(40)) = 500 + 2000 = $2,500
Hence, Rock the house digital design is cheaper.
