Question

Which of the following ordered pairs could be placed in the table and still have the relation qualify as a linear function? (4 points)

Input
(x) Output
(y)
1 12
3 9
5 6
? ?

(7, 3)

(7, 10)

(3, 3)

(3, 10)

Answer 1

To determine if the relation qualifies as a linear function, we need to see if the ratio of the output values to the input values is constant.

In this case, we can calculate the ratios for the given ordered pairs:
12/1 = 12
9/3 = 3
6/5 = 1.2

Since the ratios are not constant, these ordered pairs cannot be placed in the table and still have the relation qualify as a linear function.

Therefore, none of the provided ordered pairs (7, 3), (7, 10), (3, 3), (3, 10) can be placed in the table and still have the relation qualify as a linear function.