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Question
edith and rashida are shooting free throws. complete the ratio tables. who has a better ratio of baskets to shots? edith baskets 1 4 5 shots 3 6 9 rashida baskets 2 8 10 shots 5 10 15 complete the ratio table for edith. edith baskets 1 4 5 shots 3 6 9 (type whole numbers )
Step1: Find Edith's ratio
Edith's baskets to shots ratio: \( \frac{\text{Baskets}}{\text{Shots}}=\frac{1}{3} \). So it's a proportional relationship with constant ratio \( \frac{1}{3} \).
Step2: Calculate missing baskets for shots=6
Let baskets be \( x \). \( \frac{x}{6}=\frac{1}{3} \) → \( x = \frac{6}{3}=2 \).
Step3: Calculate missing baskets for shots=9
Let baskets be \( y \). \( \frac{y}{9}=\frac{1}{3} \) → \( y = \frac{9}{3}=3 \).
Step4: Calculate missing shots for baskets=4
Let shots be \( z \). \( \frac{4}{z}=\frac{1}{3} \) → \( z = 4\times3 = 12 \).
Step5: Calculate missing shots for baskets=5
Let shots be \( w \). \( \frac{5}{w}=\frac{1}{3} \) → \( w = 5\times3 = 15 \).
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For Edith's table:
- Baskets (second column): \( 2 \)
- Baskets (third column): \( 3 \)
- Shots (fourth column): \( 12 \)
- Shots (fifth column): \( 15 \)
So the completed table has baskets row: \( 1, 2, 3, 4, 5 \) and shots row: \( 3, 6, 9, 12, 15 \).