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 determine which row does not fit the honey to oats ratio pattern, we can first calculate the ratio of honey to oats for each row.

1. Row 1:

   • Honey: 8 tbsp
   • Oats: 2 cups
   • Ratio: \( \frac{8}{2} = 4 \)

2. Row 2:

   • Honey: 16 tbsp
   • Oats: 3 cups
   • Ratio: \( \frac{16}{3} \approx 5.33 \)

3. Row 3:

   • Honey: 24 tbsp
   • Oats: 6 cups
   • Ratio: \( \frac{24}{6} = 4 \)

4. Row 4:

   • Honey: 32 tbsp
   • Oats: 8 cups
   • Ratio: \( \frac{32}{8} = 4 \)

From the calculations:

• Row 1: Ratio = 4
• Row 2: Ratio ≈ 5.33
• Row 3: Ratio = 4
• Row 4: Ratio = 4

The ratio for Row 2 does not fit the pattern, as it does not equal 4.

Now, to find out how many cups of oats would be needed if the amount of honey is correct (16 tbsp) to make the honey to oats ratio fit the pattern (4):

We use the desired ratio of 4: \[ \frac{Honey}{Oats} = 4 \implies \frac{16}{x} = 4 \implies 16 = 4x \implies x = \frac{16}{4} = 4 \]

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