Before the regional championship, Emek and Luna helped their coach organize the team's final training schedule. The playbook was designed for 12 players, with each passing drill lasting 18 minutes. However, only 16 players attended practice that day. To keep the amount of practice per player the same, they used proportions to scale the drill times and other activities. After checking their calculations, they updated the schedule so every player received balanced training. The coach approved the plan, and the team entered the championship feeling well prepared and confident.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Keep drill time over number of players in both ratios.
The passing drill lasts 18 minutes for 12 players. Which proportion can Emek and Luna use to find x, the drill time for 16 players, if the time is scaled directly with the number of players?
12/18 = x/1618/12 = x/1618/16 = x/1212/16 = x/18Correct! The proportion 18/12 = x/16 compares minutes per player consistently.
Make sure minutes and players appear in the same positions in both ratios.
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Hint
Find the scale factor from 12 players to 16 players and apply it to 18 minutes.
The passing drill lasts 18 minutes for 12 players. If the drill time is scaled directly for 16 players, how many minutes should the updated drill last?
Correct! The updated passing drill should last 24 minutes.
Multiply 18 minutes by the same factor that changes 12 players to 16 players.
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Hint
Multiply 15 by the ratio 16/12.
Another activity lasts 15 minutes for 12 players. Using the same direct scaling method, how long should it last for 16 players?
18 minutes20 minutes24 minutes27 minutesCorrect! Scaling 15 minutes by 16/12 gives 20 minutes.
Use the same player scale factor for the activity time.
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