Question

Does the set of ordered pairs satisfy a linear function? (1, 6), (2, 4), (3, 2), (4, 0), (5, -2)

a) Yes, the set represents a linear function.
b) No, the set does not represent a linear function.

Answer 1

The set of ordered pairs represents a linear function.

Step-by-step explanation:

A linear function is a function in which the graph of the equation forms a straight line. To determine if the set of ordered pairs satisfies a linear function, we can check if the difference in the y-values over the difference in the x-values remains constant. Let's calculate the differences and see if they form a constant ratio:

(2-1) = 2, (4-2) = 2, (6-4) = 2, (0-2) = -2, (-2-0) = -2

We can see that the difference in the y-values is always -2 when the difference in the x-values is 1. Since the ratio is constant, the set of ordered pairs satisfies a linear function.

Therefore, the answer is:

a) Yes, the set represents a linear function.