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