Question

the table shows the relationship between two variables which selection describes the relationship

Answer 1

Answer:

C. Decreasing; Linear.

Step-by-step explanation:

We have been given a table that shows the relationship between two variables.

Let us find slope of our given values using slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let us find rate of change for points (1,5) and (2,-1)

$m=\frac{-1-5}{2-1}$

$m=\frac{-6}{1}=-6$

Let us find slope for points (3,-7) and (4,-13).

$m=\frac{-13--7}{4-3}$

$m=\frac{-13+7}{1}$

$m=\frac{-6}{1}=-6$

We can see that rate of change is constant (-6), therefore, our function is a linear function. Since slope is negative (-6) and with each increase in x, our y is decreasing, therefore, our function is decreasing.