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Slope as Rate of Change

Graph of y=-2x + 4, y=3x – 3
                                                     Y-Axis                Distance Vs. Time
                    Distance travelled (in meters)




                                                                              y=3x – 3


                                                               y=-2x + 4




                                                                      Time (in seconds)
                                                                                                                  X- Axis

3) Object A: y=3x – 3; (0,-3) (1,0)                                           Object B: y = -2x +4; (0,4) (1,2)
       ������2 −������1                                                                      ������2 −������1
������ =                                                                          ������ =
       ������ 2 −������ 1                                                                    ������ 2 −������ 1

       −3−0                                                                          4−2
������ =                                                                          ������ =
       0−1                                                                           0−1

       −3                                                                                    2
������ =                                                                             ������ =
       −1                                                                                  −1

������ = 3                                                                           ������ = −2
Questions:
4a) Which object is travelling faster?
Object A is travelling faster



4b) At what time does the faster object pass the slower object?

They pass each other at 1.2 seconds



4c) what is the speed of each object?

Object A: 3ms per second

Object B: 2ms per second



4d) How far has the objects traveled after 5 seconds?

Object A: it would go back 6 meters
Object B: it would go12 meters



4e) Where did the objects start relative to each other?

They started 7 meters away from each other



4f) Do the objects go towards the same direction?

No, one goes backwards and one goes forwards

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Slope as rate_of_change

  • 1. Slope as Rate of Change Graph of y=-2x + 4, y=3x – 3 Y-Axis Distance Vs. Time Distance travelled (in meters) y=3x – 3 y=-2x + 4 Time (in seconds) X- Axis 3) Object A: y=3x – 3; (0,-3) (1,0) Object B: y = -2x +4; (0,4) (1,2) ������2 −������1 ������2 −������1 ������ = ������ = ������ 2 −������ 1 ������ 2 −������ 1 −3−0 4−2 ������ = ������ = 0−1 0−1 −3 2 ������ = ������ = −1 −1 ������ = 3 ������ = −2
  • 2. Questions: 4a) Which object is travelling faster? Object A is travelling faster 4b) At what time does the faster object pass the slower object? They pass each other at 1.2 seconds 4c) what is the speed of each object? Object A: 3ms per second Object B: 2ms per second 4d) How far has the objects traveled after 5 seconds? Object A: it would go back 6 meters Object B: it would go12 meters 4e) Where did the objects start relative to each other? They started 7 meters away from each other 4f) Do the objects go towards the same direction? No, one goes backwards and one goes forwards