Question

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.

Word problem: A movie theater charges $8.00 for teach ticket. What is the total cost, y, for x tickets?

Equation: y= 8x

Table:
X.....Y
5....40
8....64
12...96
13...104

*Graph is shown in photo*

Which piece of information does not represent the same information as the three other parts?

A. Word problem
B. Equation
C. Graph
D. Table

Answer 1

C. The graph
The equation y=8x should have a slope of 8. This means that it should go up 8 spaces, every time it moves over by 1. but if you look at the graph you’ll see the slope is 1/8 because it goes up 1 space after moving over 8. If the graph were correct, the x and y values would be swapped.

Answer 2

The piece of information that does not represent the same information as the three other parts will be graph. i.e. option (D).

What is graph?

Graph is a diagram in which a line or a curve shows the relationship between two quantities, measurements, etc.

We have,

Total cost = y

Number of Tickets = x

Cost of one ticket = $ 8,

Now,

Equation for total cost,

y = 8x

Now,

If we look at the given table,

Let,

x = 5,

Then,

y = 8x

i.e. y = 8 * 5 = 40

Let,

x = 8,

Then,

y = 8x

i.e. y = 8 * 8 = 64

So,

It also represents the same information as the equation represent.

Now,

Go through the graph we find out that,

For 8 tickets, total cost is 1,

And,

For 16 tickets, total cost is 2,

That means graph does not represents the same information as the equation represent.

Hence, we can say that he piece of information that does not represent the same information as the three other parts will be graph. i.e. option (D).

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