To find out how many ounces of sugar Liana needs for 10 lemons, we can analyze the ratio from the table.
From the given data:
- 4 lemons → 6 ounces of sugar
- 8 lemons → 12 ounces of sugar
- 10 lemons → unknown ounces of sugar
- 12 lemons → 18 ounces of sugar
- 16 lemons → 24 ounces of sugar
Now, let's determine the ratio of lemons to ounces of sugar.
The ratio can be simplified to:
- For 4 lemons and 6 ounces: \( \frac{6}{4} = 1.5 \) ounces of sugar per lemon.
- For 8 lemons and 12 ounces: \( \frac{12}{8} = 1.5 \) ounces of sugar per lemon.
- For 12 lemons and 18 ounces: \( \frac{18}{12} = 1.5 \) ounces of sugar per lemon.
- For 16 lemons and 24 ounces: \( \frac{24}{16} = 1.5 \) ounces of sugar per lemon.
The pattern shows that Liana uses 1.5 ounces of sugar for every lemon.
Now, to find the amount of sugar needed for 10 lemons:
\[ 10 \text{ lemons} \times 1.5 \text{ ounces of sugar per lemon} = 15 \text{ ounces of sugar} \]
Thus, Liana will need 15 ounces of sugar for 10 lemons.
The answer is B. 15.