A juice box has 20% more juice in its new packaging. The original packaging held 12 fluid ounces. Priya and Clare both made double number lines to represent how much the new packaging holds. Which of these double number lines is correct?

Answer 1

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.