5. two tickets to an ice skating performance costs $36. for five tickets it costs $90, and for nine tickets…

5. two tickets to an ice skating performance costs $36. for five tickets it costs $90, and for nine tickets it costs $162. model with math use the graph to determine whether the number of tickets and the cost have a proportional relationship. if so, what is the constant of proportionality and what does it mean?

5. two tickets to an ice skating performance costs $36. for five tickets it costs $90, and for nine tickets it costs $162. model with math use the graph to determine whether the number of tickets and the cost have a proportional relationship. if so, what is the constant of proportionality and what does it mean?

Answer

Explanation:

Step1: Calculate the unit rate for each pair

For (2) tickets costing ($36), the unit rate is (\frac{36}{2}=18). For (5) tickets costing ($90), the unit rate is (\frac{90}{5}=18). For (9) tickets costing ($162), the unit rate is (\frac{162}{9}=18).

Step2: Check proportionality

Since the ratio of cost to number of tickets ((\frac{y}{x})) is constant ((18)) for all given pairs ((x,y)) (where (x) is the number of tickets and (y) is the cost), the relationship is proportional.

Answer:

Yes, the number of tickets and the cost have a proportional relationship. The constant of proportionality is (18). It means that each ticket costs ($18).