Determine if the following are proportional or non proportional relationships. (1 point)

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16/8=24/12
16
8
=
24
12
8/4=18/6
8
4
=
18
6
2.5/10=12/48
2.5
10
=
12
48
Proportional Non proportionalProportionalNon proportional

1 answer

To determine if the relationships are proportional or non-proportional, we need to check if the ratios are equal for each pair.

  1. For the first relationship:
    \( \frac{16}{8} = \frac{24}{12} \)

    • Simplifying: \( \frac{16}{8} = 2 \) and \( \frac{24}{12} = 2 \)
    • Both sides are equal, so this relationship is Proportional.
  2. For the second relationship:
    \( \frac{8}{4} = \frac{18}{6} \)

    • Simplifying: \( \frac{8}{4} = 2 \) and \( \frac{18}{6} = 3 \)
    • Both sides are not equal, so this relationship is Non Proportional.
  3. For the third relationship:
    \( \frac{2.5}{10} = \frac{12}{48} \)

    • Simplifying: \( \frac{2.5}{10} = 0.25 \) and \( \frac{12}{48} = 0.25 \)
    • Both sides are equal, so this relationship is Proportional.

In summary:

  1. Proportional
  2. Non Proportional
  3. Proportional