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 152Row 2104Row 3157Row 4208On 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 identify the row that does not fit the pattern in the honey to oats ratio, we can analyze the ratios in each row:

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 = \( \frac{15}{7} \approx 2.14 \) (not equal to 2.5)

4. Row 4: Honey = 20 tbsp, Oats = 8 cups
   Ratio = \( \frac{20}{8} = 2.5 \)

Now let's see that only Row 3 has a ratio of approximately 2.14, which does not fit the pattern established by the other rows, all of which have a ratio of 2.5.

To find how many cups of oats would be needed for Row 3 to have the same honey to oats ratio of \( \frac{15}{x} = 2.5 \):

Setting up the equation: \[ \frac{15}{x} = 2.5 \] Cross-multiplying gives: \[ 15 = 2.5x \] Now, divide both sides by 2.5: \[ x = \frac{15}{2.5} = 6 \]

So, if the amount of honey is correct, you would need 6 cups of oats to make the ratio fit the pattern.