If 5 tickets cost $174.45 and 8 tickets cost $271.95, how much do 12 tickets cost?

Answer 1

5 cost 174.45

1 costs 174.45/5 = $34.89

8 cost 271.95

1 costs 271.95/8 = $33.99 3/8

12 cost about 12 x 34 = $408 give or take a little

Answer 2

If you simply divide the given costs by number of tickets, you will see that the amounts do not match. Presume there is a service fee involved so that the ticket price has a linear structure.

Then, the total cost = number of tickets * price per ticket plus the service fee.

y = mx + b

174.45 = 5x + b

and

271.95 = 8x + b

Subtractibg these 2 equations eliminates b,

97.5 = 3x

and dividing by 3 produces

x = 32.5

Let's substitute this value for x back into the first equation:

171.45 = 5*32.5 + b

171.45 = 162.5 + b

b = 11.95

And it is a good idea to check this by using both of these values in the other equation to verify that our solution is correct.

You could also use the linear regression function on a calculator to determine these values.