4 months ago
Q:

The table shows the relationship between the number of sports teams a person belongs to and the amount of free time the person has each week.Number of sports | Free time (hours) 0                                        46 1                                            39 2                                         32 3                                         25is the relationship a function that is increasing or decreasing? Is the relationship a function that is linear or nonlinear?A. increasing; linearB. increasing; nonlinearC. decreasing; linearD. decreasing:onlinear

Accepted Solution

A:
As you can see from the table, Free time (y-axis) decreases as you increase number of sports teams (x=axis).Is the relationship a function that is increasing or decreasing?As x increases, y decreases.Hence, it is a decreasing function (line).
Is the relationship a function that is linear or nonlinear?The y values decreases by 7.[tex]46-39=7\\39-32=7\\32-25=7[/tex]So this is a linear relationship.
ANSWER: C