Website A offers tickets to an event for $4.50 each plus a $12.25 handling fee, while Website B offers the tickets for $6.00 plus a $1.75 handling fee. Find how many tickets need to be purchased in order for the cost to be the same?

The cost through each website is a linear equation (y = mx+b).

Slope (m) is a rate and the fees are the y-intercept (b).

website A.

y = 4.5x + 12.25

website B.

y = 6x + 1.75

set the cost (y) equal and solve for the number of tickets (x).

6x + 1.75 = 4.5x + 12.25

6x - 4.5x = 12.25 - 1.75

1.5x = 10.5

x = 10.5/1.5

x = 7

9.75 because when you add 4.50 and 12.50 you'll get 16.75. Then you add 6.00 and 1.75 and get 7.75. Then you take 16 and minus it by 7 and you'll get 9 and now you add

.75 to the 9 and you'll get 9.75