Three tickets to attend an off-broadway show cost $81 , 4 tickets cost $108, and 5 ticckets cost $135. a. show that the relationship between number an the cost is a peoportioalrelationship by making a table of tickets for 1 to 5 tickets.

Given,

The cost of 3 tickets = $ 81,

So, the cost of each ticket = = $ 27,

Let the price of each ticket is same,

So, the cost of x tickets ( say y ) = 27x

⇒ y = 27x

∵ For x = 1, 2, 3, 4 and 5 by making the table,

x          1              2               3             4               5

y         27           54             81           108            135

Thus, the price of 3 tickets is $ 81, price of 4 tickets is $ 108 and price of 5 ticket is $ 135

That is,

The equation that shows the given situation is,

y = 27x,

⇒ y ∝ x

Hence, there is a proportional relation between number of ticket and cost of the ticket.

associative property of multiplication

it would be 6xy and -16xy.