Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. Consider the given table. The “?” in the table represents the number (blank) because the average rate of change on every interval of the function is (blank).

The answers to the blanks are:

The “?” in the table represents the number 38 because the average rate of change on every interval of the function is 1/3.

Step-by-step explanation:

How you can see in the table, after the first values [x=-2, f(x)=5], each time that x add 1, f(x) add 3, (that is the reason why the average rate is 1/3), how you can see below:

2. x = 2 (were added 4 to the first number -2)

   f(x) = 17 (were added 12 to the first number 5)

3. x = 5 (were added 3 to the second number 2)

   f(x) = 26 (were added 9 to the second number 17)

4. x = 9 (were added 4 to the third number 5)

How in the last column were added 4, you must multiply this value by 3 (remember the average rate), so 4*3 = 12, now:

  f(x) = 38 (were added 12 to the third number 26)

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: