At a school hockey tournament, Emek and Luna studied the scoreboard after their team received 15 penalties in a game. That was higher than the 12 penalties from the previous game, so the coach set a new goal: reduce the latest penalty count by 40 percent in the next match. Emek calculated that 40 percent of 15 was 6. Luna subtracted 6 from 15 and found that the team could receive no more than 9 penalties to meet the target. During the next match, they tracked the count on the scoreboard. By playing more carefully, the team finished with only 8 penalties. That was 7 fewer than 15, a decrease of about 46.7 percent. The team had exceeded the coach's goal, and their more disciplined play helped them finish the match strongly.
Challenges
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Challenges
Challenge 1 of 4
Hint
First find 40 percent of 15. Then subtract that decrease from the original count.
The coach wanted to reduce the latest count of 15 penalties by 40 percent. Which calculation correctly finds the greatest number of penalties the team could receive and still meet the goal?
15 - 0.40 = 14.615(0.40) = 6, then 15 - 6 = 915(0.60) = 9, then 15 - 9 = 615 + 0.40(15) = 21Correct. A 40 percent decrease is 6 penalties, leaving a target of 9 penalties.
Remember that 40 percent describes the amount to remove from the original 15 penalties.
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Hint
Compare the team's actual count of 8 penalties with the target of 9 penalties.
The team finished the next match with 8 penalties instead of the maximum target of 9 penalties. How many additional penalties below the target did the team finish?
Correct. The team finished 1 penalty below the target.
Subtract the actual penalty count from the maximum count allowed by the target.
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Hint
For each percent change, divide the amount of change by the starting value for that change.
The previous game had 12 penalties, the latest game had 15, and the next game had 8. Which statement correctly compares these changes?
The increase from 12 to 15 was 20 percent, and the decrease from 15 to 8 was about 53.3 percent.The increase from 12 to 15 was 25 percent, and the decrease from 15 to 8 was about 46.7 percent.The increase from 12 to 15 was 25 percent, and the decrease from 15 to 8 was about 58.3 percent.The increase from 12 to 15 was 3 percent, and the decrease from 15 to 8 was 7 percent.Correct. The first change is a 25 percent increase, while the second is about a 46.7 percent decrease.
Use 12 as the starting value for the first change and 15 as the starting value for the second change.
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