Precalculus Examples

Find the Average Rate of Change y=10(1+0.4)^5
Step 1
Write as a function.
Step 2
Consider the difference quotient formula.
Step 3
Find the components of the definition.
Tap for more steps...
Step 3.1
Evaluate the function at .
Tap for more steps...
Step 3.1.1
Replace the variable with in the expression.
Step 3.1.2
Simplify the result.
Tap for more steps...
Step 3.1.2.1
Add and .
Step 3.1.2.2
Raise to the power of .
Step 3.1.2.3
Multiply by .
Step 3.1.2.4
The final answer is .
Step 3.2
Find the components of the definition.
Step 4
Plug in the components.
Step 5
Simplify.
Tap for more steps...
Step 5.1
Simplify the numerator.
Tap for more steps...
Step 5.1.1
Multiply by .
Step 5.1.2
Subtract from .
Step 5.2
Divide by .
Step 6