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Calculating Student Population Growth: A Percent of a Percent Example

This example illustrates how to calculate the increased student population at a school over two years. The student population increased by 6% in the first year and by 3% in the second year, starting with an original population of 412 students. Through step-by-step calculations, including finding the population after each year and applying the percent changes, we determine the final student count, emphasizing the importance of rounding down when dealing with people. This is an essential lesson in understanding percent increases.

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Calculating Student Population Growth: A Percent of a Percent Example

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  1. D: Combining Percents II: Percent of a Percent Example: 3. A school’s student population increased over two years. The first year it increased by 6% the second by 3%. Find the population after the second year if the original population was 412 students. Year 1: Year 2: 6 % of 412 6 ÷ 100 3% of 436 3 ÷ 100 0.06 x 412 0.03 x 436 = 24.72 Always Round people down! = 13.08 = 24 people = 13 people 412 + 24 436 + 13 = 436 students = 449 students Assignment: Page 148 # 4 – 8 Worksheet 4.4 # 5 - 8

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