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) = StartLayout Enlarged left-brace 1st row 1st column dollar-sign 18. 50 2nd column 1 less-than-or-equal-to t less-than 12 2nd row 1st column dollar-sign 16. 00 2nd column 12 less-than-or-equal-to t less-than 20 3rd row 1st column dollar-sign 14. 50 2nd column 20 less-than-or-equal-to t EndLayout What is the total cost for 20 tickets? $14. 50 $16. 00 $290. 00 $320. 0.

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MrRoyal MrRoyal · Answer 1 · 2021-12-23T04:49:57+01:00

The total cost for 20 tickets is (a) $14.50

The piecewise function is given as:

[tex]C(t) = \left[\begin{array}{ccc}\$18.50&1 \le t < 12 & \\\$16.00&12 \le t < 20 & \\\$14.50&20 \le t &\end{array}\right[/tex]

To determine the value of a piece function, we simply make reference to the domain or interval of the function.

For a total cost of 20 tickets, it means that the value of t is 20.

This is represented as:

[tex]t = 20[/tex]

The value of t = 20 falls under the domain [tex]20 \le t[/tex], and the corresponding function is:

[tex]C(t) = 14.50[/tex]

Hence, the total cost for 20 tickets is (a) $14.50

Read more about piecewise function at:

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