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Sagot :

Answer:

Option 1, y = 3·x³ - 3 is not a linear function because the power of x is 3

Option 2 is a linear function of the form y = m·x + c, where m = 8.75 and c = 0

Option 3 is not a linear function because the power of x is -1 ≠ 1

Option 4 is a curved line graph and therefore is not a linear function

Option 5 is a linear function because the points of the graph are in a straight line

Option 6 is a linear function because the it has a straight line graph

Option 7 is a linear function because the "y" values has a common first difference of -15

Option 8 is not a linear function because the "y" values do not have a common first difference. (1 - 2) ≠ (2/3 - 1)

Option 9 is not a linear function because the data does not form a graph with a straight line

Option 10 is not a linear function because the dependent variable or "y" values which are the HEIGHT (YARDS) values, do not have a constant or common first difference (7.2 - 0) ≠ (10.7 - 7.2)

Step-by-step explanation:

A linear function is a function with a straight line graph and the general equation of a linear function is of the form,  y = f(x) = m·x + c.

The linear function has one dependent variable, "y" and one independent variable "x" with the exponent of the x being the first power or one and the "y" values has a common first difference value