Final answer:
In exercise 13, the situation shows direct variation with the equation y = 3x. In exercise 14, the situation does not show direct variation with the equation y = 20 + 5x.
Step-by-step explanation:
In Exercises 13 and 14, we need to determine whether the situations show direct variation.
For 13, the situation states that bowling lane rental costs $3.00 per hour. This situation shows direct variation because as the number of hours increases, the total cost also increases proportionally. The equation that represents this situation is y = 3x, where y is the total cost and x is the number of hours.
For 14, the situation states that a family water park ticket costs $20 plus $5 for each tube. This situation does not show direct variation because the total cost of the ticket does not only depend on the number of tubes. It also includes a fixed cost of $20. The equation that represents this situation is y = 20 + 5x, where y is the total cost and x is the number of tubes.