Question

Jamie spends the day at an amusement park. The table shows how many tickets Jamie has after riding some amusement park rides. It represents a linear function.

Number of rides 0 1 2 3 4
Number of tickets 24 18 12 6 0
What is the y-intercept of the function shown in the table, and what does it represent?
A. The y-intercept is (0, 24). Jamie has 24 tickets before going on any rides.
B. The y-intercept is (4, 0). Jamie goes on 4 rides.
C. The y-intercept is (0, 24). Jamie uses 24 tickets per ride.
D. The y-intercept is (4, 0). Jamie uses 4 tickets per ride.

Answer 1

The y-intercept of Jamie's ticket situation at the amusement park is (0, 24), meaning that she has 24 tickets before going on any rides. This is represented by answer choice 'A'.

Step-by-step explanation:

The y-intercept of a linear function is the point where the line crosses the y-axis. This is when the x-value (number of rides, in this context) is zero. Looking at Jamie's situation in the amusement park and considering the tickets as the y-value of the function, when Jamie has not gone on any rides (x=0), she has 24 tickets. Therefore, the y-intercept is (0, 24).

This y-intercept value represents the starting number of tickets Jamie has before using any on rides. Thus, the correct answer to the question is, 'A. The y-intercept is (0, 24). Jamie has 24 tickets before going on any rides.' This expresses that initially, at the start of her day (no rides taken), Jamie holds 24 tickets in total.