Mathematics, 23.07.2019 05:20 gennhill14

Which statement best explains whether y equals 4 x+ 8 is a linear function or nonlinear function?

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Answers

C) It is a linear function because the graph contains the points (0, 8), (1, 12), (2, 16), which are on a straight line.

Explanation:

The missing options for this question are:

A) It is a linear function because the graph contains the points (8, 0), (12, 1), (16, 2), which are on a straight line.

B) It is a nonlinear function because the graph contains the points (8, 0), (12, 1), (16, 2), which are not on a straight line.

C) It is a linear function because the graph contains the points (0, 8), (1, 12), (2, 16), which are on a straight line.

D) It is a nonlinear function because the graph contains the points (0, 8), (1, 12), (2, 16), which are not on a straight line.

The given equation is:

y = 4x + 8

Replacing x by 0, we get y = 8. This means point (0, 8) lies on the graph of the function.

Replacing x by 1, we get y = 12. This means point (1, 12) lies on the graph of the function.

Replacing x by 2, we get y = 16. This means point (2, 16) lies on the graph of the function.

If we plot these three points on a graph we can draw a straight line through these. Hence, based on this we can conclude that:

C) It is a linear function because the graph contains the points (0, 8), (1, 12), (2, 16), which are on a straight line.

The line passing through these 3 points would actually be the given equation y = 4x + 8 as one and only one line can pass through 3 distinct points.

Which statement best explains whether y equals 4 x+ 8 is a linear function or nonlinear function?

Answer from: Quest

x/3-10=8

x/3=18

x=48

Answer from: Quest

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