Question

Use the table to answer the question.

This table compares two options based on whether they pass through the point (-1, -2) and their respective domain and range.
Number of Tickets Purchased Price Per Ticket ($)
0–5 35.75
6–10 30.50
11 or more 25.25
Grace and her friends are planning a trip to the amusement park. The table includes the prices for tickets, which are dependent upon how many are purchased. Which of the following options includes the piecewise function that represents the given problem, where f(x)
represents the cost per ticket, and x represents the number of tickets purchased?

Option #1: f(x)=⎧⎩⎨⎪⎪35.75,30.50,25.25, 1≤x≤56<x≤10x>11


Option #2: f(x)=⎧⎩⎨⎪⎪35.75,30.50,25.25, 1≤x≤56≤x≤10x≥11


Option #3: f(x)=⎧⎩⎨⎪⎪35.75,30.50, 25.25,x≥56≤x≤10x≥11


(1 point)
The problem can be represented by the piecewise function in Option #__.

Answer 1

Option #2.

It correctly uses 6 ≤ x ≤ 10 for the 30.50 tier and x ≥ 11 for the 25.25 tier (matching "6–10" and "11 or more").