Which table shows equivalent ratios?

A 2-column table with 4 rows. Column 1 is labeled Feet with entries 2, 4, 5, 6. Column 2 is labeled Inches with entries 36, 48, 60, 72.
A 2-column table with 4 rows. Column 1 is labeled Feet with entries 2, 3, 4, 6. Column 2 is labeled Inches with entries 22, 39, 48, 72.
A 2-column table with 4 rows. Column 1 is labeled Feet with entries 2, 5, 6, 7. Column 2 is labeled Inches with entries 24, 60, 72, 84.
A 2-column table with 4 rows. Column 1 is labeled Feet with entries 2, 3, 4, 6. Column 2 is labeled Inches with entries 28, 36, 48, 72.

1 answer

To determine which table shows equivalent ratios, we need to check if the ratios of Feet to Inches in each table are consistent.

We'll calculate the ratio of Feet to Inches for each entry in the tables.

  1. First Table

    • 2 Feet = 36 Inches → Ratio = 2/36 = 1/18
    • 4 Feet = 48 Inches → Ratio = 4/48 = 1/12
    • 5 Feet = 60 Inches → Ratio = 5/60 = 1/12
    • 6 Feet = 72 Inches → Ratio = 6/72 = 1/12

    (The ratios are not equivalent.)

  2. Second Table

    • 2 Feet = 22 Inches → Ratio = 2/22 = 1/11
    • 3 Feet = 39 Inches → Ratio = 3/39 = 1/13
    • 4 Feet = 48 Inches → Ratio = 4/48 = 1/12
    • 6 Feet = 72 Inches → Ratio = 6/72 = 1/12

    (The ratios are not equivalent.)

  3. Third Table

    • 2 Feet = 24 Inches → Ratio = 2/24 = 1/12
    • 5 Feet = 60 Inches → Ratio = 5/60 = 1/12
    • 6 Feet = 72 Inches → Ratio = 6/72 = 1/12
    • 7 Feet = 84 Inches → Ratio = 7/84 = 1/12

    (All are equivalent to 1/12.)

  4. Fourth Table

    • 2 Feet = 28 Inches → Ratio = 2/28 = 1/14
    • 3 Feet = 36 Inches → Ratio = 3/36 = 1/12
    • 4 Feet = 48 Inches → Ratio = 4/48 = 1/12
    • 6 Feet = 72 Inches → Ratio = 6/72 = 1/12

    (The first ratio is different.)

Based on this evaluation, the third table shows equivalent ratios, as they all equal 1/12.

Similar Questions
  1. Which table shows equivalent ratios?A 2-column table with 4 rows. Column 1 is labeled Feet with entries 2, 4, 5, 6. Column 2 is
    1. answers icon 1 answer
  2. This table shows the ratio of apples to oranges.A 2-column table has 3 rows. Column 1 is labeled Apples with entries 6, 9, 12.
    1. answers icon 1 answer
  3. The table shows the distances and times that two dogs ran.A 3-column table with 2 rows. Column 1 is labeled Dog with entries
    1. answers icon 1 answer
  4. The chart shows the movement of a ball after several seconds.A 2-column table with 4 rows. The first column labeled A has
    1. answers icon 1 answer
more similar questions