The correct statement about the function represented by the table is: d) It is a linear function because the y-values increase by an equal difference over equal intervals of x-values.
In Mathematics and Euclidean Geometry, a linear function is a type of function whose equation has a constant slope and it is graphically represented by a straight line on the xy-plane or cartesian coordinate.
Based on the table of values, we would determine the common difference between the consecutive y-values as follows;
44 - 26 = 18
62 - 44 = 18
80 - 62 = 18
98 - 80 = 18
Since the table of values have a common difference over equal intervals of x-values, we can logically deduce that the function represented by the table is a linear function.
Complete Question:
Select the correct statement about the function represented by the table.
a) It is a linear function because the difference between each x and y-value is constant.
b) It is an exponential function because the factor between each x- and y-value is constant.
c) It is an exponential function because the y-values increase by an equal factor over equal intervals of x-values.
d) It is a linear function because the y-values increase by an equal difference over equal intervals of x-values.