Final answer:
To label each tick mark with its value on the double number line, we can start by labeling the leftmost tick mark as 0 and moving to the right in increments of 2 for the adults and 24 for the children. To determine the number of adults needed for a specific number of children, locate the tick mark representing the number of children on the children side of the double number line and follow the line horizontally until it intersects with the adults side.
Step-by-step explanation:
On the double number line, we need to label each tick mark with its corresponding value. Since the ratio is 2 adults for every 24 children, we can start by labeling the leftmost tick mark with the value 0, which represents 0 adults and 0 children. Moving to the right, we can label the tick marks in increments of 2 for the adults and 24 for the children. For example, the next tick mark can be labeled as 2 adults and 24 children, the next one as 4 adults and 48 children, and so on.
To find out how many adults are needed if there are 72 children, we locate the tick mark labeled 72 on the children side of the double number line. Then, we follow the line horizontally until it intersects with the adults side of the double number line. The corresponding value on the adults side represents the number of adults needed. In this case, the tick mark labeled 72 intersects with the adults side at 6 adults. Therefore, 6 adults are needed when there are 72 children.