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Uploaded byjennywang1124
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Slope as rate_of_change

This document discusses slope as the rate of change and uses two graphs, y=-2x+4 and y=3x-3, to represent the distance over time of two objects, A and B. It calculates that object A is traveling faster at 3 m/s compared to object B's speed of 2 m/s. The objects pass each other at 1.2 seconds and were initially 7 meters apart, traveling in opposite directions.

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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