Question

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.

Answer 1

1 ticket costs $27, 2 tickets cost $54, 3 cost $81, 4 cost $108, and 5 cost $135.

There is a $27 difference between each ticket above or below

Answer 2

Given,

The cost of 3 tickets = $ 81,

So, the cost of each ticket =
`(81)/(3)` = $ 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.