Answer:
Answer is: A(Linear)
Step-by-step explanation:
A linear function is a function whose graph is a straight line.
It is given that Mary plotted a graph and she found out that the difference in the y values is the same. So such a thing could happen when a function is a linear function.
since, a linear equation is given as:
where a and b are real numbers.
so for distinct values of x say
we get the y-values as ![y_{1},y_{2}](https://tex.z-dn.net/?f=y_%7B1%7D%2Cy_%7B2%7D)
now,
![y_{1}-y_{2}=a(x_{1}-x_{2})](https://tex.z-dn.net/?f=y_%7B1%7D-y_%7B2%7D%3Da%28x_%7B1%7D-x_%7B2%7D%29)
so for equally spaced
we get the difference in y-value to be equal.
Hence, the function is Linear.