Question

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                                         25

is the relationship a function that is increasing or decreasing? Is the relationship a function that is linear or nonlinear?

A. increasing; linear
B. increasing; nonlinear
C. decreasing; linear
D. decreasing:onlinear

Answer 1

C.

Explanation:

I agree with the person above me (C. decreasing; linear

Answer 2

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.

`46-39=7\\39-32=7\\32-25=7`

So this is a linear relationship.

ANSWER: C