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The number of change and the percent of decrease in the numbers (12,8,7,3). Compare the amounts of change and percents of decrease.

a) The amount of change is 9, and the percent of decrease is 75%.
b) The amount of change is 6, and the percent of decrease is 50%.
c) The amount of change is 4, and the percent of decrease is 33.33%.
d) The amount of change is 5, and the percent of decrease is 62.5%.

1 Answer

2 votes

Final answer:

To calculate the amount of change and percent of decrease between the given numbers, subtract each number from the one following it and divide by the original number, then multiply by 100. The percent of decrease for each pair is 33.33%, 12.5%, and 57.14% respectively. None of the provided options match these calculations exactly.

Step-by-step explanation:

The student is asking about the calculation of the amount of change and the percent of decrease when comparing the numbers 12, 8, 7, 3. Let's compare each pair of numbers in sequence and calculate the amount of change and percent of decrease:

  • From 12 to 8, the amount of change is 12 - 8 = 4. The percentage of decrease is (4/12) × 100% = 33.33%.
  • From 8 to 7, the amount of change is 8 - 7 = 1. The percentage of decrease is (1/8) × 100% = 12.5%.
  • From 7 to 3, the amount of change is 7 - 3 = 4. The percentage of decrease is (4/7) × 100% = 57.14%.

Each change is less than the original number, which confirms that it is a decrease, not an increase. None of the given answer choices exactly match the calculations done for the changes between these numbers. However, close attention to the question may reveal what specific comparison the question asks for, and hence the correct answer choice.

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