Ask Question
23 August, 08:57

Mrs. Solar is remodeling a house and is looking for a contractor to do the work. She is getting quotes from 3 different contractors, and will hire one of them based on the total cost. Each company uses a formula to calculate its fees based on the number of hours the work will take.

2. Mrs. Solar modeled Contractor 2's fees with the formula y = 150 + 55x. Mrs. Solar compared Contractor 2's fee to Contractor 1's fee.

(a) What does the difference between 50 and 55 mean in the real-world context?

(b) What does the difference between 200 and 150 mean in the real-world context?

+4
Answers (1)
  1. 23 August, 09:14
    0
    Contractor 1: y = 200 + 50x

    Contractor 2: y = 150 + 55x

    50 and 55 are the variable costs incurred in doing the project. These costs will only be implemented when x changes. X is the variable that may represent the number of hours worked, number of people added to complete the task.

    200 and 150 are the fixed cost of the project. Mrs. Solar must pay the cost regardless of the changes happening in x.

    For example: Both contractors need to add 15 additional people to complete the task. Then:

    Contractor 1 : y = 200 + 50 (15) = 200 + 750 = 950

    Contractor 2 : y = 150 + 55 (15) = 150 + 825 = 975 è Contractor 1 is the best option:

    If x = 10 additional people

    Contractor 1: y = 200 + 50 (10) = 200 + 500 = 700

    Contractor 2: y = 150 + 55 (10) = 150 + 550 = 700 è Any contractor is the best option

    If x = 5 additional people

    Contractor 1: y = 200 + 50 (5) = 200 + 250 = 450

    Contractor 2: y = 150 + 55 (5) = 150 + 275 = 425 è Contractor 2 is the best option
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Mrs. Solar is remodeling a house and is looking for a contractor to do the work. She is getting quotes from 3 different contractors, and ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers