Option I lemonade mix and cups of water option B lemonade mix, and cups of water based on the tables and coordinate line identify the missing equivalent ratios from the coordinate plane

1 answer

To help you more effectively, I’d need additional information regarding the specific tables or coordinate points you are referencing. However, I can guide you on how to determine equivalent ratios based on the information given.

Steps to Identify Equivalent Ratios:

  1. Understanding Ratios: A ratio compares two quantities. In this case, it seems that you have a ratio of lemonade mix to cups of water.

  2. Setting Up the Ratio:

    • If Option I has \( x \) cups of lemonade mix and \( y \) cups of water, the ratio can be expressed as \( \frac{x}{y} \).
    • Option B would have its corresponding ratio \( \frac{a}{b} \).
  3. Finding Equivalence:

    • Two ratios are equivalent if \( \frac{x}{y} = \frac{a}{b} \).
    • You can simplify or manipulate ratios by multiplying or dividing both parts of the ratio by the same number.
  4. Using the Coordinate Plane:

    • If you have points on a coordinate plane (let's say (x,y)), you can plot these points and see which points align on the same line (if they do). Points on the same line represent equivalent ratios.
    • For example, if you have points (2,3) and (4,6), the ratios are equivalent since \( \frac{2}{3} \) simplifies to \( \frac{4}{6} \).

Example:

If you know the ratio for Option A is 1 part lemonade mix to 4 parts water (1:4), you could easily find equivalent ratios:

  • 2:8
  • 3:12
  • 4:16
  • etc.

If these ratios are missing from your table, you could plot them on a coordinate plane where the x-axis represents lemonade mix and the y-axis represents water.

Conclusion:

For a more precise answer, please provide the specific ratios, tables, or points you have, and I can help you identify the missing equivalent ratios more accurately!