High School

For Xin's lemonade recipe, 12 lemons are required to make 8 cups of lemonade.

Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.

Answer :

Final answer:

By using the ratio of lemons to cups of lemonade (3:2), a table and a corresponding plot on the coordinate axes can be constructed. Points such as (3,2), (6,4), (9,6), and (12,8) show the equivalent ratios.

Explanation:

For Xin's lemonade recipe, it's stated that 12 lemons are required to make 8 cups of lemonade. This establishes the ratio of lemons to cups of lemonade as 12:8, which simplifies to 3:2. This means that for every 3 lemons used, 2 cups of lemonade are produced.

To create a table of equivalent ratios, you would continue this pattern, where every increase of 3 lemons results in 2 more cups of lemonade. On a graph, the lemons would be on your x-axis and the cups of lemonade would be on your y-axis. So you'd plot points such as (3,2), (6,4), (9,6), etc.

Here is how to fill out this table:

  • 3 lemons yield 2 cups of lemonade
  • 6 lemons yield 4 cups of lemonade
  • 9 lemons yield 6 cups of lemonade
  • 12 lemons yield 8 cups of lemonade

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