Graphing Linear Functions



Rate of Change
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 Lesson #3: What is a Rate of Change?

Definition: Rate of Change shows how one value changes as a related value changes.
For example: 30 miles per hour means that I increased 30 miles in 1 hour.
Let's go back to the example we used in the last lesson! Remember about the savings account at the bank?

Example #1: You decide to begin a savings account where you will deposit $10 every week. To open a savings account, your local bank requires an initial deposit of $50.

If you remember, we determined that the starting point was $50 because it was the beginning value.

But what is the rate of change?

- Ask yourself: "How does my money change as the time changes?"

- My money increases by $10 every time the week increases by 1.

- Therefore, the rate of change is written as a fraction $10/1 week.

Rate of Change on Graph       

TRY THIS ONE ON YOUR OWN!

Let's change up example #2 a bit.

Example #2: You are the President of the Student Council at your high school. At the beginning of the year, you started with 60 members. Unfortunately, every 2 months, you lose 10 members.

Using what you learned from Example #1, what is the rate of change? Is that rate increasing or decreasing?


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