Question

All tickets for a concert are the same price the tickets agency as a fixed fee to every order a person to order six tickets paid 135 another person who orders three tickets paid 75 right in equation relating to the total cost to the number of tickets purchased in slope intercept form

Answer 1

x will represent the number of tickets.

y will represent the fixed fee given by the ticket agency

6x + y = 135

3x + y = 75

To solve, we can use the process of elimination by multiplying the second equation by -2 so that 6y will cancel:

-6x - 2y = -150

+6y + y = 135

Now we simplify by adding/subtracting:

-y = -15 or y = 15

Plug the value of y into any of the two equations and solve for x. I will use the second equation:

3x + 15 = 75

3x = 60

x = 20

To set this up in slope intercept form (y = mx + b), we need to identify what m and b are.

m is x because it is not a fixed number, and b is y because it is a fixed number (price of “fixed” fee). This brings us to y = 20x + 15