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dmitriy555 [2]
3 years ago
10

Drag each scenario to show whether the final result will be greater than the original value, less than the original value, or th

e same as the original value.

Mathematics
1 answer:
Molodets [167]3 years ago
3 0

The scenarios where it is greater than the original; (1) A 100% increase followed by a 33\frac{1}{3}% decrease, (3) A 50% increase followed by a 33\frac{1}{3}% decrease and (5) a 60% increase followed by a 40% decrease.

The scenario where it is lesser than the original; (3) A 75% decrease followed by a 50% increase.

The scenario in which it is the same as the original; (2) A $20 decrease followed by a $20 increase.

Explanation:

  • Assume the original values for all the scenarios are x.
  • Scenario 1; A 100% increase is represented by x + 100% and then a 33\frac{1}{3}% decrease will be x + 100% - 331.666x which is greater than x.
  • Scenario 2; A $20 decrease is x - $20 and then a $20 increase will equal x - $20 + $20 = $x, which equals the original $x.
  • Scenario 3; A 75% decrease is represented by x - 75% and then a 50% increase will be x - 75% + 50% = x - 25% = 0.75x, which is greater than x.
  • Scenario 4; A 50% increase is represented by x + 50% and then a 33\frac{1}{3}% decrease will be x + 50% - 331.166x which is greater than x.
  • Scenario 5; A 60% increase is represented by x + 60% and then a 40% decrease will be x + 60% - 40% = x + 20%, 1.2x which is greater than x.
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