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Elena-2011 [213]
3 years ago
5

Please HELP, I am struggling please help ASAP

Mathematics
1 answer:
Vlad1618 [11]3 years ago
7 0

9514 1404 393

Answer:

  $2.50

Step-by-step explanation:

The equation that describes Elizabeth's table can be found using the 2-point form of the equation for a line.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (47.50 -27.50)/(3 -1)(x -1) +27.50

  y = (20.00)/2(x -1) +27.50

  y = 10x +17.50

Elizabeth's flat fee is $17.50. The difference between that and Mang's flat fee is ...

  |17.50 -20.00| = |-2.50| = 2.50

The absolute value of the difference between the flat fees is $2.50.

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A) works; adding the two costs together is 250+145=395.  We multiply this by 0.85 because 100%-15%=85%=0.85.  We also have x% tax, which is represented by x/100, added to 100% of the value, or 1.00.  Altogether this gives us 
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B) works; we have 250+145 for the original price; we have 85% = 0.85 of the value; we also have 100% + x%, which is (100+x)/100.
C) does not work; (0.85+x/100)(395) does not take into consideration that you are finding the tax after taking the 85%.  This will simplify out to
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D) works; simplifying the expression from A, we have 395(0.85) + 395(0.0085x) = 335.75 + 3.3575x.
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