tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. the…
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 $108.00. which linear function represents c, the total cost, when x tickets are ordered? (a service fee is a single fee applied to the total, no matter the number of tickets purchased). c(x)=5.50 + 20.50x c(x)=5.50x + 20.50 c(x)=5.50 + 21.60x c(x)=5.50x + 21.60
Answer
Explanation:
Step1: Find the cost per ticket
Let the cost per ticket be (x). We know that for 5 tickets, the total cost (c = 108) dollars and there is a service - fee of (5.50) dollars. The cost of 5 tickets without the service fee is (108 - 5.50=102.50) dollars. The cost per ticket (x=\frac{102.50}{5}=20.50) dollars.
Step2: Write the linear function
The linear function for the total cost (c(x)) has the form (c(x)=\text{service fee}+\text{cost per ticket}\times x). Since the service fee is (5.50) and the cost per ticket is (20.50), the function is (c(x)=5.50 + 20.50x).
Answer:
(c(x)=5.50 + 20.50x) (the first option)