Before a championship soccer match, Emek and Luna compared their team with its opponent using season statistics. Their team had increased its goals scored from 24 early in the season to 33 recently, an increase of 9 goals. The opponent had reduced its goals allowed from 20 to 12, a decrease of 8 goals. At first, Emek thought their team's 9-goal change was greater. Luna suggested comparing percentages because the starting values were different. Their team's increase was 9 out of 24, or 37.5 percent. The opponent's decrease was 8 out of 20, or 40 percent. Although its raw change was smaller, the opponent had made the greater percentage improvement. Knowing they faced a much stronger defense, Emek and Luna planned a patient attacking strategy with careful passes. Their percentage comparison gave the team a clearer picture of the challenge ahead.

Challenges

Challenge 1 of 5

Challenges

Challenge 1 of 4
Hint
Think about why a change of 8 or 9 may represent different portions of the starting amounts.
Emek first said their team's improvement was greater because 9 goals is more than 8 goals. Why is this comparison incomplete?
The two changes started from different values, so percentage change gives a fairer comparison.A decrease can never be compared with an increase.Only the final values should be compared.The smaller numerical change always represents the greater improvement.
Correct. Percentage change accounts for the different starting values.
Compare each change with the value it started from, not just with the other raw change.
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Hint
Subtract 37.5 from 40, then give the nearest whole-number percentage-point difference.
How many percentage points greater was the opponent's 40 percent improvement than the team's 37.5 percent improvement?
Correct. The difference is 2.5 percentage points, which rounds to 3 percentage points to the nearest whole number.
Find the difference between 40 percent and 37.5 percent, then round to the nearest whole number.
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Hint
Percent change compares the amount of change with the original value.
A student claims that the team's percentage increase should be found using 9 / 33 because 33 is the new number of goals. Which statement correctly identifies the mistake?
The student should divide 33 by 9 because the new value always goes in the numerator.The student should divide the change of 9 by the starting value of 24, not by the new value of 33.The student should subtract 9 from 24 before finding a percentage.The student should use the opponent's starting value of 20 instead.
Correct. The original value, 24, is the correct denominator for the percent increase.
For percent change, identify which value represents the amount before the change occurred.
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Hangi Takım Daha Fazla Gelişti?
TR
ARC_G08_FRD_02_STORY_03
Hangi Takım Daha Fazla Gelişti?
Which Team Improved More?
EN
ARC_G08_FRD_02_STORY_03
Which Team Improved More?