Question

In Exercises 13 and 14, determine whether the situation shows direct variation.

Explain your reasoning.
13. Bowling lane rental costs $3.00 per hour.
14. A family water park ticket costs $20 plus $5 for each tube.
15. In a rewards program, the number p of points a member earns varies directly
with the number d of dollars spent in the store. A member who spends $10 earns
5 points. Find the number of points a member earns for spending $80.

Answer 1

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.

Answer 2

tbh choose the biggest number

Step-by-step explanation: