Question

The table shows the relationship of how many pounds of pecans are needed to make a certain number of pies:

Number of Pies
3
6
9
Pounds of Pecans
2
4
6


Which graph below shows plots of equivalent ratios for this situation?

Answer 1

Answer: The correct option is 1.

Step-by-step 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.

`(3)/(2)= (6)/(4) =(9)/(6)`

So the ratio of x and y is
`(3)/(2)`.

At x=15,

`(15)/(y)= (3)/(2)`

`y=10`

At x=30,

`(30)/(y)= (3)/(2)`

`y=20`

At x=45,

`(45)/(y)= (3)/(2)`

`y=30`

These points are satisfied by option 1, therefore option 1 is correct.