Constant rate of change (question in photo)

Given that the set of coordinates in a circle.

We need to cross out the set of coordinates in the circle that do not belong by using the constant rate of change.

The formula for constant rate of change is given by

Constant rate of change for the coordinates (2,7), (4,14) and (6,21):

Substituting the coordinates (2,7) and (4,14) in the formula, we get;

Constant rate of change for the coordinates (4,14) and (6,21), we get;

Constant rate of change for the coordinates (2,7) and (6,21), we get;

Thus, all three coordinates have the same constant rate of change.

Constant rate of change for the coordinates (8,2), (12,3) and (16,5):

Substituting the coordinates (8,2) and (12,3) in the formula, we get;

Substituting the coordinates (12,3) and (16,5) in the formula, we get;

Substituting the coordinates (8,2) and (16,5) in the formula, we get;

Since, the constant rate of change is not the same for all the three coordinates, let us cross out the set of coordinates (8,2), (12,3) and (16,5)

Constant rate of change for the coordinates (1,1), (6,6) and (9,9):

Substituting the coordinates (1,1) and (6,6) in the formula, we get;

Substituting the coordinates (6,6) and (9,9) in the formula, we get;

Substituting the coordinates (1,1) and (9,9) in the formula, we get;

Thus, all three coordinates have the same constant rate of change.

Constant rate of change for the coordinates (5,3), (10,6) and (15,9):

Substituting the coordinates (5,3) and (10,6) in the formula, we get;

Substituting the coordinates (10,6) and (15,9) in the formula, we get;

Substituting the coordinates (5,3) and (15,9) in the formula, we get;

Thus, all three coordinates have the same constant rate of change.

Therefore, the set of coordinates that are crossed out from the circle are (8,2), (12,3) and (16,5)

The correct option is;

c. Number of science courses, discrete; time to complete homework, continuous

Step-by-step explanation:

There are two types of random variables, discrete random variables and continuous  random variables

Discrete random variables are variables that are always re-presentable by a finite countable number, such that discrete random variables can be taken as a count of items count

Therefore, as the number of science courses are fixed and such that a specific number can be ascribed to the courses at any time (except there are changes), is a discrete random variable

A continuous random variable is one whose possible values are infinite and are generally measurements of values of such as weight, height, time, and amount

Therefore, the time to complete the homework is a continuous random variable.