The graph below shows the relationship between x, the number of movie tickets purchased, and y, the cost of the tickets.

Question

The graph titled Price for Movie Tickets has number of movie tickets on the x-axis from 0 to 8 and price in dollars on the y-axis from 0 to 60 in increments of 5. A straight line start from (0, 0) and connects (8, 40) and point P is at (6, 30) on the line.

What does point P represent on the graph?

A.
The price of 1 ticket is $30.00, which is $30.00 per ticket.

B.
The price of 1 ticket is $30.00, which is $5.00 per ticket.

C.
The price of 6 tickets is $30.00, which is $5.00 per ticket.

D.
The price of 6 tickets is $30.00, which is $6.00 per ticket.

Answer 1

Point P is located at (6, 30) on the graph, which indicates that when 6 movie tickets are purchased, the total cost is $30.

To determine the price per ticket, we can calculate it by dividing the total cost by the number of tickets:

\[ \text{Price per ticket} = \frac{\text{Total cost}}{\text{Number of tickets}} = \frac{30}{6} = 5 \]

So, point P represents that the price for 6 tickets is $30.00, which makes the price per ticket $5.00.

Based on this analysis, the correct answer is:

C. The price of 6 tickets is $30.00, which is $5.00 per ticket.