Answer:
The correct statement about the function represented by the table is:
D. It is a linear function because the y-value increase by an equal difference over equal intervals of x-values.
Step-by-step explanation:
The table of values are given as follows:
x y
1 26
2 44
3 62
4 80
5 98
- We know that the function is said to be linear if the rate of change is constant.
Here with the x-value is increasing by each 1.
Hence, we will check whether the difference in y-value is equal or not.
( Since, the rate of change is the ratio of the change in y-value to the change in x-value)
Hence,
44-26=18
62-44=18
80-62=18
and 98-80=18
Hence, we get that the change in y-value is equal .
Hence, we get that the slope or rate of change of the function is constant.
Hence, the function is linear.
