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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=

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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

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