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

Question

Honey (tbsp) Oats (cups)
Row 1 8 2
Row 2 16 3
Row 3 24 6
Row 4 32 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.

Answer 1

To find the honey to oats ratio for each row, we can determine the ratio of honey (in tablespoons) to oats (in cups) for each row:

• Row 1:
  Honey: 8 tbsp, Oats: 2 cups
  Ratio: 8/2 = 4

• Row 2:
  Honey: 16 tbsp, Oats: 3 cups
  Ratio: 16/3 ≈ 5.33

• Row 3:
  Honey: 24 tbsp, Oats: 6 cups
  Ratio: 24/6 = 4

• Row 4:
  Honey: 32 tbsp, Oats: 8 cups
  Ratio: 32/8 = 4

From the calculated ratios, we can see that Rows 1, 3, and 4 all have a honey to oats ratio of 4, while Row 2 has a different ratio of approximately 5.33.

Therefore, Row 2 does not fit the pattern.

To make Row 2 fit the same honey to oats ratio of 4, we can set up the equation:

\[ \frac{Honey}{Oats} = 4 \]

Given that the amount of honey is 16 tbsp, we can calculate the required amount of oats:

\[ 4 = \frac{16}{Oats} \] \[ Oats = \frac{16}{4} \] \[ Oats = 4 \]

If the amount of honey is correct (16 tbsp), you would need 4 cups of oats to make this ratio fit the pattern.