Bot GPT 4-o mini To identify the missing equivalent ratios from the coordinate plane based on the provided tables for Option A and Option B, we will first summarize the ratios for both options.
Option A:
The ratios of lemonade mix (x) to cups of water (y) can be calculated as follows:
- 5 (lemonade mix) : 4 (cups of water) → 5/4
- 10 : 8 → 10/8 = 5/4
- 15 : 12 → 15/12 = 5/4
- 20 : 16 → 20/16 = 5/4
- 25 : 20 → 25/20 = 5/4
All the ratios in Option A are equivalent to 5/4.
Option B:
The ratios of lemonade mix (x) to cups of water (y) can be calculated as follows:
- 6 : 5 → 6/5
- 12 : 10 → 12/10 = 6/5
- 18 : 15 → 18/15 = 6/5
- 24 : 20 → 24/20 = 6/5
All the ratios in Option B are equivalent to 6/5.
Identifying Missing Equivalent Ratios:
To identify the missing equivalent ratios from the provided data, let's determine what pairs are missing based on the graph and tables.
From the graph, Option A has points at (5,4), (10,8), (15,12), (20,16) with a constant ratio of 5/4. The missing ratio (25, 20) also maintains the same ratio as per the table.
For Option B, points at (6,5), (12,10), (18,15) maintain a ratio of 6/5, with (24,20) also completing this pattern.
In summary, here are the identified equivalent ratios missing from the coordinate plane but present in the tables:
- For Option A, the missing equivalent ratio is (25, 20).
- For Option B, the missing equivalent ratio is (24, 20).
These points complete the graph for both options while maintaining the correct ratios of lemonade mix to cups of water.
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