MATH SOLVE

4 months ago

Q:
# Which statement best explains whether Y equals 4 x+ 8 is a linear function or nonlinear function?

Accepted Solution

A:

Answer: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 + 8Replacing 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.