1. 2.5 and 2.6 Linear and Non-Linear Relations

2. Linear Relation Two variables form a straight line when graphed.Two variables form a straight line when graphed. (meaning the variables change at a constant rate) A line of best fit can be used to represent the data.A line of best fit can be used to represent the data.

3. Non-Linear Relations Two variables do not form a straight line when graphed (one variable does not change at a constant rate in relation to another).Two variables do not form a straight line when graphed (one variable does not change at a constant rate in relation to another). A curve of best fit can be used to represent the data.A curve of best fit can be used to represent the data.

4. Practice On your worksheet draw your curves and lines of best fit.On your worksheet draw your curves and lines of best fit.

5. Distance vs Time Graph A common type of graph is a Distance-Time graph which shows what happens to the distance variable (y) as the time variable (x) changes.A common type of graph is a Distance-Time graph which shows what happens to the distance variable (y) as the time variable (x) changes. These types of graphs can be Linear or Non- Linear.These types of graphs can be Linear or Non- Linear.

6. For the following distance-time graph provide a possible explanation for what is occurring in each section.

7. Lets look at the graph 1st Section:-Starts running away from home (25 sec)1st Section:-Starts running away from home (25 sec) 2nd Section: stops moving (out of breath)2nd Section: stops moving (out of breath) 3rd Section: starts to head home (5 sec)3rd Section: starts to head home (5 sec) 4th section: Stops to get breath back…4th section: Stops to get breath back… 5th Section: Gentle jog back home5th Section: Gentle jog back home 6th Section: Gentle jog away but increases speed at end6th Section: Gentle jog away but increases speed at end 7th Section: Heads back home at constant speed.7th Section: Heads back home at constant speed. Find the speed at which the object or person was moving for the last section:Find the speed at which the object or person was moving for the last section: –Goes 40 meters in 20 seconds = 40m 20s 20s=2m/s

8. HW. p. 83 #1, 3, 5, 7HW. p. 83 #1, 3, 5, 7 p. 91 #1bcd, 3, 4, 7, 8 p. 91 #1bcd, 3, 4, 7, 8