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Over [174]
3 years ago
15

2(3 - x) = 16(x + 1)*

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0

Answer:

x = -5/9

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

2(3 - x) = 16(x + 1)

Step 2: Distribute

6 - 2x = 16x + 16

Step 3: Add 2x on both sides

6 = 18x + 16

Step 4: Subtract 16 on both sides

-10 = 18x

Step 5: Divide both sides by 18

-10/18 = x

Step 6: Simplify

-5/9 = x

Step 7: Rewrite

x = -5/9

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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.

<h3>What is a linear function?</h3>

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.
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For 7 hours, the costs are given as follows:

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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 brainly.com/question/24808124

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