Question

select the correct answer.

the prices of movie tickets at a theater each year since it opened are given in the table.

\

$$\begin{tabular}{|l|l|} \\hline year & price \\\\ \\hline 1 & \\$6.27 \\\\ \\hline 2 & \\$3.22 \\\\ \\hline 3 & \\$2.23 \\\\ \\hline 4 & \\$3.26 \\\\ \\hline \\end{tabular}$$

if the curve of best fit for the data is \\(y = x^2 - 6x + 11.25\\), what is the best prediction of the price of a ticket at the theater in year 6?

\\(\bigcirc\\) \\$6.25

\\(\bigcirc\\) \\$8.25

\\(\bigcirc\\) \\$11.25

\\(\bigcirc\\) \\$18.25

Explanation:

Identify the given function and input value

$$
LATEXBLOCK0
$$

Substitute the value into the quadratic equation

$$
LATEXBLOCK1
$$

Answer:

• (A) $6.25
• (B) $8.25
• (C) $11.25 (Correct answer)
• (D) $18.25