Answer: The correct option is 1.
Explanation:
From the figure it is noticed that the number of pies is x and pounds of pecans is y.
From the given table we can conclude that the change in x is more that the change in y.
The option 2 represents that the change in y is more that x. The option 3 represents that there is no change in y as x changes. The options 4 represents that as x increases the value of y decreases, therefore only option 1 is correct.
The another method is,
From the table we can noticed that y=2 at x=3, y=4 at x=6 and y=6 at x=9.
[tex]\frac{3}{2}= \frac{6}{4} =\frac{9}{6}[/tex]
So the ratio of x and y is [tex]\frac{3}{2}[/tex].
At x=15,
[tex]\frac{15}{y}= \frac{3}{2}[/tex]
[tex]y=10[/tex]
At x=30,
[tex]\frac{30}{y}= \frac{3}{2}[/tex]
[tex]y=20[/tex]
At x=45,
[tex]\frac{45}{y}= \frac{3}{2}[/tex]
[tex]y=30[/tex]
These points are satisfied by option 1, therefore option 1 is correct.
