To determine which double number line is correct, we need to compare the original packaging size with the new packaging size and see if the 20% increase is accurately represented.
Let's start by finding 20% of 12 fluid ounces:
20% of 12 = (20/100) * 12 = 0.2 * 12 = 2.4 fluid ounces
Therefore, the new packaging should hold 12 + 2.4 = 14.4 fluid ounces.
Now let's check the double number lines:
Option A:
Original packaging: 12
New packaging: 14 (12 + 2)
In this double number line, the increase is only 2 units, which is much smaller than the 20% increase. Therefore, option A is not correct.
Option B:
Original packaging: 12
New packaging: 16 (12 + 4)
In this double number line, the increase is 4 units, which is larger than the 20% increase. Therefore, option B is not correct.
Option C:
Original packaging: 12
New packaging: 14.4
In this double number line, the increase is accurately represented as 14.4 - 12 = 2.4 units, which is the correct 20% increase. Therefore, option C is correct.
Therefore, the correct double number line is option C.