Before the championship match, Tara and Emek studied detailed performance data from the team's previous games. They examined the ratio of successful plays to total possessions and represented the relationship with a function showing scoring efficiency under different game conditions. By converting the ratios into comparable values, they identified which strategy produced the strongest and most reliable efficiency model. Their analysis helped the coaches choose a game plan based on mathematical evidence, giving the team a clear advantage before the final match.

Challenges

Challenge 1 of 5

Challenges

Challenge 1 of 4
Hint
Convert the fraction 45/60 into a decimal by dividing the numerator by the denominator.
The team recorded 45 successful plays out of 60 total possessions. What is the decimal form of this efficiency ratio?
0.450.600.751.33
Correct! The efficiency ratio is 45/60 = 0.75.
Check the division of successful plays by total possessions.
Next
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Hint
Multiply the total possessions by the efficiency ratio.
A strategy model shows an efficiency ratio of 3/5. If the team has 200 possessions using this strategy, how many successful plays are predicted?
Correct! The model predicts 120 successful plays.
Use the ratio as a fraction of the total possessions.
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Hint
Convert the fraction into a decimal before comparing the two values.
Tara and Emek compare two efficiency models. Strategy A has a ratio of 18/24, and Strategy B has a ratio of 0.70. Which strategy has the higher efficiency?
Strategy A because 18/24 = 0.75, which is greater than 0.70Strategy B because 0.70 is greater than 18/24Both strategies have the same efficiency because both are less than 1Strategy A because 18/24 = 18.24
Correct! Strategy A has an efficiency of 0.75, which is higher than 0.70.
Compare the two efficiencies using the same form, such as decimals.
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Şampiyona Verimlilik Modeli
TR
ARC_G12_FRD_01_STORY_01
Şampiyona Verimlilik Modeli
The Championship Efficiency Model
EN
ARC_G12_FRD_01_STORY_01
The Championship Efficiency Model