Answer:
The correct linear function is c(x) = 5.50 + 20.50x.
Step-by-step explanation:
It's a linear function, so that means it uses y=mx+b. It says "per ticket" which means that the ticket cost is the slope, or m, of the equation. The service fee would be added on as a one-time fee, making it the y-intercept, or b. In order to find the cost of the tickets, you had to subtract the service fee from the total cost, then divide by how many tickets were purchased. You can set this up by plugging in what you know.
Subtract the 5.50 from both sides, leaving us with:
Now, this equation tells us how much 5 tickets cost, but we want how much it is per ticket. That means now we have to divide both sides by 5:
Thus, one ticket is $20.50.
