Question

State an appropriate scale to use to graph the data in the x-y scale table shown

Answer 1

$$minimum_-value_-y=-20$$To graph properly, we must observe the maximum and minimum values of our variables x and y.

First we need to know if our values in x and y are even, odd or both:

For the case of x: the points can be either even or odd, and the separation between them is not uniform, which is why the increment of the x-axis must be 1.

For the case of y: the points are all even, so the increment of the y-axis can be 2

Now to know where the maximum and minimum values of x and y should be, we will take as a reference the value of the increase of the axes and we will multiply it by 2 and we will add it to the maximum value and we will subtract it from the minimum value in both axes. As follows:

`\begin{gathered} x_-increment=1 \\ y_-increment=2 \\ \end{gathered}`
`\begin{gathered} minimum_-value_-x=2-2(x_-increment) \\ minimum_-value_-x=2-2(1) \\ minimum_-value_-x=2-2 \\ minimum_-value_-x=0 \end{gathered}`
`\begin{gathered} max_-value_-x=25+2(x_-increment) \\ max_-value_-x=25+2 \\ max_-value_-x=27 \end{gathered}`
`\begin{gathered} min_-value_-y=-20-2(y_-increment) \\ min_-value_-y=-20-2(2) \\ min_-value_-y=-20-4 \\ min_-value_-y=-24 \end{gathered}`
`\begin{gathered} max_-value_-y=26+2(y_-increment) \\ max_-value_-y=26+2(2) \\ max_-value_-y=26+4 \\ max_-value_-y=30 \end{gathered}`

• Minimum x-value : 0

,

• Maximum x-value : 27

,

• Increment for x-axis : 1

,

• Minimum y-value : -24

,

• Maximum y-value : 30

,

• Increment for y-axis : 2