Tickets to a basketball game can be ordered online for a set price per ticket plus a $5. 50 service fee. The total cost in dollars for ordering 5 tickets is $108. 0. Which linear function represents c, the total cost, when x tickets are ordered?.

Solution: C=20.5x+5.5

Step by step solution:
Since we know that 5 tickets with the $5.5 service fee cost $108 we can make the equation 5x+5.5=108 with x being cost per ticket. With this we can solve for x:
5x+5.5=108
-5.5 -5.5
5x=102.5
/5 /5
x=20.5
With that we can set up the linear equation in slope intercept form for the total cost depending on the amount of tickets. Since the variable c is given I’ll use it instead of y.
y=mx+b
c=20.5x+5.5
Lastly we can check it by plugging in the original point (5, 108)
108=20.5(5)+5.5
108=102.5+5.5
108=108
Hope this helps :)

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