A professional sports club asked Tara and Emek to evaluate several training programs before the next season. They analyzed ratio-based models that compared improvements in key performance measures with training time. By expressing each relationship as a function, they predicted how different players would develop over future months. The models showed that one program produced stronger long-term growth predictions than the others. Using the mathematical comparisons, Tara and Emek helped the club select the training approach that best supported future player performance.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Divide the numerator by the denominator to convert the fraction to a decimal.
A training model predicts that a player's improvement ratio is 5/8 after a certain period. What is the decimal form of this ratio?
0.6250.580.81.6Correct! 5/8 is equal to 0.625.
Check the division of 5 by 8 carefully.
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Hint
Multiply the total number of sessions by the improvement ratio.
A player development model predicts an improvement ratio of 3/4. If the player completes 160 training sessions represented by the model, how many sessions correspond to the improvement amount?
Correct! The predicted improvement amount is 120 sessions.
Use the fraction 3/4 as part of the total 160 sessions.
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Hint
Convert the fraction into a decimal before comparing the two models.
Tara and Emek compare two training models. Model A predicts growth with a ratio of 7/10, while Model B predicts growth with a ratio of 0.65. Which model shows the stronger predicted growth?
Model B because 0.65 is greater than 7/10Model A because 7/10 = 0.70, which is greater than 0.65Both models because both ratios are less than 1Model B because decimals are always larger than fractionsCorrect! Model A has a value of 0.70, which is greater than 0.65.
Express both values in the same form before comparing them.
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