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The ordered pairs below represent a relation between x and y. (-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11). Could this set of ordered pairs have been generated by a linear function?. A) Yes, because the distance between consecutive x-values is constant. B) No, because the distance between consecutive y-values is different than the distance between consecutive x-values. C) Yes, because the relative difference between y-values and x-values is the same no matter which pairs of (x, y) values you use to calculate it. D) No, because the y-values decrease and then increas

Respuesta :

meerkat18
First, look at the values of the abscissas: -3, -2, -1, 0, and 1. The values form an arithmetic sequence with common difference of 1. On the other hand the values of the ordinates: 1, 3, 5, 7, and 9 also form an arithmetic sequence with common difference of 2. Since the coordinates form arithmetic sequences, the answer to the question above is letter C.
MrRoyal

Yes, because the relative difference between y-values and x-values is the same no matter which pairs of (x, y) values you use to calculate it.

How to determine the true statement?

The ordered pairs are given as:

(-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11)

From the ordered pair above:

We can see that, as x increases by 1, the value of y increases by 2

The above is a property of a linear function

Hence, the true statement is (c)

Read more about linear functions at:

https://brainly.com/question/4025726

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