Question

Mary creates a table of values for a function and plots the points. She finds that the difference in the y values is the same. What kind of function did she graph? a. linear b. quadratic c. square root d. exponential

Answer 1

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:

$y=ax+b$ where a and b are real numbers.

so for distinct values of x say $x_{1},x_{2}$ we get the y-values as $y_{1},y_{2}$

now,

$y_{1}-y_{2}=a(x_{1}-x_{2})$

so for equally spaced $x_{i}'s$ we get the difference in y-value to be equal.

Hence, the function is Linear.

Answer 2

"a. linear" is the answer.

Since the difference between each of the y values, which are the outputs, are the same, it must mean that Mary would've gotten a straight line if she graphed this function. Thus, it is a linear function.