Average Rate of Change
Storyboard Text
- Hey, we have been playing this video game for so long. We should get out of the house, maybe we should go on a hike
- Yeah your right we have been in here a long time. I think going on a hike is a great idea!
- I know it's such a beautiful day and those mountains look like they would be fun to try and climb! I say we hike up the mountain some!!
- It's so nice outside, this was such a great idea! Look at those mountains!
- 2 hours later...
- WOW! We are really high up and it has only taken us 2 hours to get to this marker. Let's keep going and see how much longer it takes to get to the top!
- Altitude400 feet
- Look! We have made it to the 400 foot marker and it looks like we are half way there!
- 4 hours later...
- I know it's literally like we are on top of the world lol! That means from the 400 feet marker it only took us 4 hours to hike up the rest of the mountain.
- Altitude 900 feet
- Look at this view it's amazing we can see everything! We are 900 feet in the air and it only took us a total of 6 hours!
- You know, I wonder how much we walked every hour
- Yes!
- Altitude 900 feet
- Well in my math class this year we have talked about average rate of change maybe we could use that formula to figure that out!
- Do you mean like how many feet we walked per hour?
- Oh wow that sounds cool I have never heard of that whats the formula?
- That sounds complicated.
- Altitude 900 feet
- Yeah it sounds confusing but all we have to do is plug in the time we have walked and the altitude into our formula
- Well the formula is y2 minus y1 divided by x2 minus x1
- Wow that is crazy!! You really do learn something new everyday, thanks for teaching me average rate of change and the formula that goes with it! Now I can use it when I go hiking again!
- So then would the equation be 900 minus 400 divided by 4 minus 2?
- Okay so where do we put each number?
- Altitude 900 feet
- Well it first took us 2 hours to climb 400 feet so that would be our x1 and y1 and then it look 4 hours to climb 900 feet so that would be our x2 and y2
- Yes, that's correct! and if we work it out it gives us 250 so we walked 250 feet per hour!
- Of course! and just know you can use average rate of change for many different day to day activities not just hiking!
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