Average Rate of Change

Average Rate of Change

I can calculate how much something has moved increased or decreased.

Today:

We will learn how to calculate how much a function increases/decreases.

Multiple Choice

At what rate in people per minute, did the hall fill up in the first four minutes.

• 12

• 14

• 239

• 15

• -12

Multiple Choice

How many people entered the hall between 10 and 15 minutes?

• 48

• 96

• 95

• 275

• -96

Multiple Choice

At what rate did people enter the hall, in people per minute, between 10 and 15 minutes?

• 48

• 96

• 19

• 275

• -19

Average Rate of Change

Average Rate of Change- Change in output (y) divided by the change in input (x)

Average Rate of Change is the slope between any two points of a function.

Exercise 3

Exercise 3

Fill in the Blank

Find the average rate of change from 3 to 6 seconds.

Exercise 4: Nearly There...

• We have been looking at the slope via tables, but what if we were given a function instead?

• Find the Average rate of change from x=-2 to x=4

• Function: y = 10x+3

Function B

Math Response

Find the rate of change between x=4 and x=-2.

$$f\left(x\right)=2x^2-4$$

Type answer here

Correct Answer: 4

Deg^°

Rad