Question

The cost of a single ticket depends on the number of tickets, t, purchased in a group, as represented by the function C(t).

C(t) = $18.50 1 <_t < 12
$16.00 12<_t < 20
$14.50 20<_t

What is the total cost for 20 tickets?
A.)$14.50
B.)$16.00
C.)$290.00
D.)$320.00

Answer 1

The total cost for 20 tickets:
20 · 14.50 = $290.00
Answer: C ) $290.00

Answer 2

C. $290

Explanation:

We see that,

The cost of the single ticket is given by,

`C(t) =\left\{\begin{matrix} 18.50, &1\leq t\leq 12 \\ 16.00, & 12\leq t\leq 20\\ 14.50, & 20\leq t\end{matrix}\right.`,

where t = number of tickets.

As, we have,

When t = 20, the value of C(t) is $14.50.

That is, the cost of 20 tickets = 20 × 14.50 = $290.

Thus, the total cost of 20 tickets is $290.