The table below shows the different combinations of honey and oats that can be used in making granola.(2 points)

Honey (tbsp) Oats (cups)
Row 1 5 2
Row 2 10 4
Row 3 15 7
Row 4 20 8
On which row does the honey to oats ratio not fit the pattern?

If the amount of honey is correct, you would need
cups of oats to make this ratio fit the pattern.

1 answer

To identify the row where the honey to oats ratio does not fit the pattern, let's calculate the honey to oats ratio for each row:

  1. Row 1: 5 tbsp honey / 2 cups oats = 2.5
  2. Row 2: 10 tbsp honey / 4 cups oats = 2.5
  3. Row 3: 15 tbsp honey / 7 cups oats ≈ 2.14
  4. Row 4: 20 tbsp honey / 8 cups oats = 2.5

The ratio is consistent for Rows 1, 2, and 4, all being 2.5, while Row 3 has a ratio of approximately 2.14.

Thus, Row 3 does not fit the pattern.

To make Row 3 fit the pattern, if the amount of honey is correct (15 tbsp), you would need oats such that:

\[ \text{Oats (cups)} = \frac{\text{Honey (tbsp)}}{2.5} = \frac{15}{2.5} = 6 \]

Therefore, to make the ratio fit the pattern, you would need 6 cups of oats.