Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Select the correct answer.
You are moving to a new apartment and need to hire a moving company. You’ve researched local moving companies and found these price options.


After the moving process has begun, you realize that it’s going to take closer to 7 hours to finish moving everything instead of the 4 hours you initially estimated. If you had planned for 7 hours of time for moving, which moving company would have given you the best deal?


Select The Correct Answer You Are Moving To A New Apartment And Need To Hire A Moving Company Youve Researched Local Moving Companies And Found These Price Opti class=

Sagot :

Using a linear function, it is found that Company D would have given you the best deal for 7 hours of moving.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, we consider:

  • The flat fee as the y-intercept.
  • The hourly rate as the slope.

Hence the costs for x hours of moving from each company are given as follows:

  • A(x) = 50 + 25x.
  • B(x) = 40 + 30x.
  • C(x) = 60 + 20x.
  • D(x) = 150 + 5x.

For 7 hours, the costs are given as follows:

  • A(7) = 50 + 25 x 7 = $225.
  • B(7) = 40 + 30 x 7 = $250.
  • C(7) = 60 + 20 x 7 = $200.
  • D(7) = 150 + 5 x 7 = $185.

Due to the lower cost, Company D would have given you the best deal for 7 hours of moving.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1