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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?.

2 Answers

3 votes

Final answer:

The linear function that represents the total cost when x tickets are ordered is c = 5x + 5.50.

Step-by-step explanation:

The linear function that represents the total cost, c, when x tickets are ordered is given by the equation:

c = 5x + 5.50

In this equation, x represents the number of tickets ordered. The fixed cost of $5.50 is added to the product of the number of tickets ordered and the set price per ticket, which is $5.

For example, if x = 5 (5 tickets are ordered), the total cost c would be:

c = 5(5) + 5.50 = 25 + 5.50 = 30.50

So, the total cost for ordering 5 tickets is $30.50.

User Ngen
by
3.4k points
6 votes
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 :)
User Alberto Moro
by
3.7k points