Javier and his study group designed a word problem, equation, table, and graph that were all supposed to represent the same information, as shown below.

Question

Word Problem

A movie theater charges $8.00 for each ticket. What is the total cost, y, for x tickets?

Equation

y = 8x

Graph

Movie Theater Costs
A graph with number of tickets sold on the x-axis and total cost on the y-axis. A line goes through points (8, 1), (16, 2).

Table

A 2-column table with 4 rows. Column 1 is labeled x with entries 5, 8, 12, 13. Column 2 is labeled y with entries 40, 64, 96, 104.

Which piece of information does not represent the same information as the other three parts?
word problem
equation
graph
table

Answer 1

The piece of information that does not represent the same information as the other three parts is the graph.

The graph should depict the relationship according to the equation \( y = 8x \) with the correct points plotted. However, the points it goes through — (8, 1) and (16, 2) — are not correct based on the equation or the word problem, which indicates that the total cost y is determined by multiplying the number of tickets x by $8. The correct points that should be on the graph are (1, 8), (2, 16), (5, 40), (8, 64), (12, 96), and (13, 104). Thus, the graph does not accurately represent the relationship laid out in the word problem and the equation.