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

Answer:

Interval of 50 on both axis

Step-by-step 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