Question

relation 1 x,3,4,5,5,6 y,3,5,7,9,11
Relation x,5,6,7,8,9 y,31,28,25,22,19
relation 3 x,2,3,4,5,6 y,3,3,3,3,3
relation 4 x,7,8,9,9,10 y,10,20,30,40,50

Looking at the 4 tables, answer the following questions.

(3 points)
Put responses in the correct response input area to answer the question. Select a response, navigate to the desired input area and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A. Which table(s) do not represent a function? Currently contains Relation 4.Select to move response to a response input area.Relation 4

B. Which table(s) represent a linear relationship? Currently contains Relation 2 and 3.Select to move response to a response input area.Relation 2 and 3

C. Which table(s) show a decreasing relationship? Currently contains Relation 1 and 2.Select to move response to a response input area.Relation 1 and 2

Select to move response to a response input area.Relation 2 and 4Select to move response to a response input area.Relation 3Select to move response to a response relation 3 and 4 Select to move response to a response relation 1 and 4 Select to move response to a response relation 2 Select to move response to a response relation 1

Answer 1

A. Relation 1 and Relation 4 — each has a repeated x-value with different y-values, so they are not functions.

B. Relation 2 and Relation 3 — Relation 2 has constant slope (y decreases by 3 for each +1 in x); Relation 3 is constant (slope 0), which is linear.

C. Relation 2 — y-values decrease as x increases (31, 28, 25, 22, 19).