Question

Tickets to a concert are available online for $25 plus a one-time handling fee of $1.75.
The total cost is a function of the number of tickets bought. What function rule models
the cost of the concert tickets? Evaluate the function for 6 tickets.

A.25t + 1.75; $151.75
B.1.75t + 25; $151.75
C.1.75t + 25; $35.50
D.25t + 1.75; $35.50

Answer 1

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:

$\boxed{\ 151.75}$