Answer: Option C.
Step-by-step explanation:
Xmin, Xmax, Ymin, and Ymax represent the minimum/maximum values that X and Y can take.
We know that the scale in Y and X is 10.
This means that each mark in each axis represents 10 units.
Now, let's go to the vertical axis (y-axis)
Counting from the (0, 0) we can count:
4 marks up
4 marks down.
So if each mark represents 10 units, 4 marks are 40 units.
Then the range for Y is {-40, 40}
Now for the horizontal axis.
We can count 3 marks on each side, and with the same reasoning as before, we can find that the range for X is: {-30, 30}
Then we have that:
Xmin = -30
Xmax = 30
Ymin = -40
Ymax = 40
Now, as a point is defined as (X, Y)
This region can be written as:
{Xmin, Xmax} by {Ymin, Ymax}
or, replacing the values:
{-30, 30} by {-40, 40)
So the correct option is C.
