The table below shows the different combinations of honey and oats that can be used in making granola.(2 points) %C2%A0 Honey%C2%A0(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?%C2%A0 If the amount of honey is correct, you would need%C2%A0 %C2%A0cups of oats to make this ratio fit the pattern.

1 answer

To find the row where the honey to oats ratio does not fit the pattern, we first need to calculate the ratio for each row and see if there's a consistent pattern.

  1. Row 1:

    • Honey = 5 tbsp
    • Oats = 2 cups
    • Ratio = \( \frac{5}{2} = 2.5 \)
  2. Row 2:

    • Honey = 10 tbsp
    • Oats = 4 cups
    • Ratio = \( \frac{10}{4} = 2.5 \)
  3. Row 3:

    • Honey = 15 tbsp
    • Oats = 7 cups
    • Ratio = \( \frac{15}{7} \approx 2.14 \)
  4. Row 4:

    • Honey = 20 tbsp
    • Oats = 8 cups
    • Ratio = \( \frac{20}{8} = 2.5 \)

From the calculations:

  • Rows 1, 2, and 4 have a honey to oats ratio of 2.5.
  • Row 3 has a ratio of approximately 2.14, which does not fit the pattern.

Now, if we want to keep the same honey to oats ratio of 2.5, we can calculate the number of oats needed for 15 tbsp of honey:

Using the ratio of \( \frac{Honey}{Oats} = 2.5 \): \[ \text{Oats} = \frac{\text{Honey}}{2.5} = \frac{15}{2.5} = 6 \text{ cups of oats} \]

Thus, Row 3 does not fit the pattern, and you would need 6 cups of oats to make the honey to oats ratio fit the pattern of 2.5.

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