Question

Diego was asked to plot these points: (-50, 0), (150, 100), (200, -100), (350, 50), (-250, 0). What interval could he use for each axis? Explain your reasoning.

Answer 1

Interval of 50 on both axis

Explanation:

Given

`(x_1,y_1) = (-50,0)`

`(x_2,y_2) = (150,100)`

`(x_3,y_3) = (200,-100)`

`(x_4,y_4) = (350,50)`

`(x_5,y_5) = (-250,0)`

There are several ways to do this, but I will use the observation method, since the dataset is small.

Considering the x-coordinates

`x = \{-50,150,200,350,-250}`

Each element of the data set is a multiple of 50.

Hence, an interval of 50 can be used on the x-axis

Considering the y-coordinates

`y = \{0,100,-100,50,0\}`

Each element of the data set is a multiple of 50.

Hence, an interval of 50 can be used on the y-axis

So, an interval of 50 can be used on both axes