To determine the missing value in the table for the Tropical Sunrise smoothie, we need to establish the ratio of mango puree to coconut milk.
From the given values, let's analyze the entries:
- For 9 mL of mango puree, there are 4 mL of coconut milk. This gives us a ratio of \( \frac{9}{4} \).
- For 18 mL of mango puree, there are 8 mL of coconut milk. This gives a ratio of \( \frac{18}{8} = \frac{9}{4} \).
- For 45 mL of mango puree, we can find out how much coconut milk would correspond to this amount, still adhering to the ratio \( \frac{9}{4} \).
Let’s calculate the coconut milk amount when mango puree is 45 mL:
Using the established ratio \( \frac{9}{4} \):
\[ \text{Coconut Milk} = \left( \frac{4}{9} \right) \times \text{Mango Puree} \]
Substituting 45 for Mango Puree:
\[ \text{Coconut Milk} = \left( \frac{4}{9} \right) \times 45 = 20 \text{ mL} \]
Now, let’s check the last entry (for 63 mL of mango puree):
Using the same ratio:
\[ \text{Coconut Milk} = \left( \frac{4}{9} \right) \times 63 = 28 \text{ mL} \]
Now, we can fill in the table with the missing values:
- For Milliliters of Mango Puree: 9, 18, 27, 45, 63 (the missing value is 27 mL)
- For Milliliters of Coconut Milk: 4, 8, 12, 20, 28 (the other missing value is 12 mL)
Final Table:
- Milliliters of Mango Puree: 9, 18, 27, 45, 63
- Milliliters of Coconut Milk: 4, 8, 12, 20, 28
So the two missing values are 27 mL of mango puree and 12 mL of coconut milk.