RELATING GRAPHS TO EVENTS
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1 RELATING GRAPHS TO EVENTS Independent Variable: The cause variable (the tested variable or input). Always labeled on the x axis of graph. Dependent Variable: The effect variable (output). Always labeled on the y axis of graph. Identify the Independent and Dependent Variables for the Following Situations: 1. A study was done to find if different tire treads affect the braking distance of a car. 2. The time it takes to run a mile depends on the person s running speed. 3. The height of bean plants depends on the amount of water they receive. 4. The higher the temperature of the air in the oven, the faster a cake will bake. 5. Lemon trees receiving the most water produced the most lemons. 6. An investigation found that more bushels of potatoes were produced when the soil was fertilized more. 7. Students measured the temperature of the water at different depths in Lake Skywalker and found that the temperature varied. 8. The amount of pollution produced by cars was measured for cars using gasoline containing different amounts of lead.
2 Question #1: What are the two variables in this situation? Question #2: Which variable is the independent variable? distance moving stationary moving moving time
3 This graph represents a person's hike on a mountainside A B C D What are the two variables? Time and Elevation Which is the independent variable? Time Is the person going up, down, or both? Up... elevation is increasing What could be happening in each segment? A: Walking quickly up the mountain B: Stopped for a break C: Walk less quickly D: Walked very slowly Pull for questions
4 Example 1 The graph represents which of the following: A car that is traveling at a constant speed. A car with decreasing speed. A car that is stopped. A car that is coming back. distance time
5 Example 2 The graph represents which of the following: A car that is traveling at a constant speed. A car with decreasing speed. A car that is stopped. A car that is coming back. distance time
6 Which story best represents the graph? Explain your thinking. Solution: C
7 Warm Up A Person's Height 1. Why does the graph not start at zero? HEIGHT 2. Why is the graph not a straight slanted line? 0 TIME 3. What does the flat part at the top represent?
8 Name Date Per Identify the Independent and Dependent Variables for the Following Situations: Lemon trees receiving the most water produced the most lemons. 6. An investigation found that more bushels of potatoes were produced when the soil was fertilized more. 7. Students measured the temperature of the water at different depths in Lake Skywalker and found that the temperature varied. 8. The amount of pollution produced by cars was measured for cars using gasoline containing different amounts of lead. SOLUTIONS Relating Graphs to Events Worksheet #1 I: Amount of water D: Lemons Produced I: Amount of fertilizer D: Potatoes Produced I: Depth D: Temperature I: Amount of Lead in Gasoline D: Amount of Pollution Produced by the Car
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