The inquiry mark in the table represents the number 38 because the average rate of change on every interval of the function, is 3.
What is rate of change?
The rate of change of a function is the change in the value of one variable or quantity with respect to the change in value of another variable.
The average rate of change of the is the ratio of change in y values to the change in x values of the data.
Consider the given table.
The rate of change is,
[tex]r=\dfrac{17-5}{2-(-2)}\\r=\dfrac{12}{4}\\r=3[/tex]
Let the value of the question mark is x. Thus,
[tex]3=\dfrac{x-26}{9-5}\\3=\dfrac{x-26}{4}\\4\times3={x-26}\\x=12+26\\x=38[/tex]
Thus, the "?" in the table represents the number 38 because the average rate of change on every interval of the function, is 3.
Learn more about the rate of change here;
https://brainly.com/question/3939432
