The right answer is A. 25t + 1.75; $151.75
This problem is given in two ways. First, we need to find the function rule models the cost of the concert tickets. Second, we will evaluate the function for 6 tickets.
First.
Tickets to a concert is a function of the number of tickets bought. Tickets are available for $25. So, if there is no any fee, the function will be:
\(C(t)=25t \\ \\ where: \\ \\ \\ \ t \ is \ the \ number \ of \ tickets \\ \\ C(t) \ is \ the total \ cost\)
Since there is a one-time handling fee of $1.75, the function changes into:
\(C(t)=25t+1.75\)
Therefore, our first answer is:
\(\boxed{25t+1.75}\)
Second.
To evaluate the function for 6 tickets, we need to calculate the value \(C(6)\). In this function, the input is the number of tickets and the output is the the cost of the concert tickets. Therefore:
\(C(6)=25(6)+1.75 \\ \\ \therefore C(6)=\$151.75\)
Finally, our second answer is:
\(\boxed{\$151.75}\)
