Question

The values in the table represent the numbers of households that watched three TV shows and the ratings of the shows. Which of the following is the best description for the relationship between the TV show rating and the number of households that watched the TV show?

Choose the best that answers this question:
A-The relationship is linear but nonproportional.
B-The relationship is linear and proportional.
C-The relationship is not linear.

Answer 1

C is the correct answer

Answer 2

The best option that shows the relationship of the values is:

B-The relationship is linear and proportional.

How to identify a linear relationship?

A linear relationship refers to a statistical term used to describe a straight-line relationship between two variables. When graphed in the x-y plane, a linear relationship creates a line.

Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b,

where:

m is the slope and b is the y-intercept

Looking at the given values, we see that as number of households that watched three TV shows increased by 5,000,0000, the ratings of the shows increased by 4

Thus, it is a linear relationship as the increment is constant.