Question

This table shows values represented by an exponential function. What is the average rate of change for this function for the interval from x = 3 to x = 5?

Answer 1

49

Explanation:

Ap3x

Answer 2

49

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Average Rate of Change:
  `(f(b)-f(a))/(b-a)`

Explanation:

Step 1: Define

x = 3, f(3) = 27

x = 5, f(5) = 125

Step 2: Find Rate

1. Substitute [ARC]:
   `(f(5)-f(3))/(5-3)`
2. Substitute:
   `(125-27)/(5-3)`
3. Subtract:
   `(98)/(2)`
4. Divide:
   `49`