By definition we have that the average rate of change of the function is:

Evaluating the function for the complete interval we have that the AVR is given by:

Rewriting we have:

Simplifying the expression we have:


Answer:
the average rate of change of the function defined by the table is:

Answer:
16 units
Step-by-step explanation:
6.1 + 5.8 + 4.1 = 16
Let n = number of records.
Each record costs $7, so n records cost 7n.
She then spent $3, so the total spent is 3n + 3.
She spent a total of $24, so 3n + 3 must equal 24. That gives us the following equation.
7n + 3 = 24
Subtract 3 from both sides.
7n = 21
Divide both sides by 7.
n = 3
Answer: She bought 3 records.