Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45? Select three options. The amount of change is different for the percent increase and the percent decrease. The ratio of the percent increase is not the same as the percent decrease. The ratio for the percent increase has a smaller denominator than the percent decrease. The ratio for the percent increase has a different numerator than the percent decrease. The original amount for the percent increase is different from the original amount for the percent decrease.

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Answer:

A, C, D

Step-by-step explanation:

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(A) The amount of change is different for the percent increase and the percent decrease.

(C) The ratio for the percent increase has a smaller denominator than the percent decrease.

(D) The ratio for the percent increase has a different numerator than the percent decrease.

Percentage:

  • A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics.
  • If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
  • The proportion, therefore, refers to a component per hundred.
  • Per 100 is what the word percent means.

Example -

  1. An increase of $[tex]0.15[/tex] on a $[tex]2.50[/tex] price equals a fractional increase of [tex]\frac{0.15}{2.50} =0.06[/tex].
  2. This represents an increase of % when expressed as a percentage.
  3. There is no mathematical restriction, therefore percentages may have various values even though the majority of % numbers fall between [tex]0[/tex] and [tex]100[/tex].
  4. For percent changes and comparisons, it's typical to use terms like [tex]111[/tex] percent or [tex]35[/tex] percent.

Therefore, the correct options are as follows -

(A) The amount of change is different for the percent increase and the percent decrease.

(C) The ratio for the percent increase has a smaller denominator than the percent decrease.

(D) The ratio for the percent increase has a different numerator than the percent decrease.

Know more about percentages here:

https://brainly.com/question/24304697

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