Understanding Dependent Variables
Explore the concept of dependent variables in mathematical relationships with this Grade 8 worksheet, featuring real-world examples and graphing exercises.
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Understanding Dependent Variables
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Read each question carefully and follow the instructions to identify dependent variables, complete tables, and analyze relationships.
In each scenario, identify the dependent variable.
1. The amount of money earned (M) depends on the number of hours worked (H). Dependent Variable:
2. The total cost of a taxi ride (C) is determined by the distance traveled (D). Dependent Variable:
3. The growth of a plant (G) is affected by the amount of sunlight it receives (S). Dependent Variable:
For each statement, describe the relationship between the variables and identify the dependent variable.
4. The temperature in a room (T) changes based on whether the heater is on (H).
5. The number of pages read (P) depends on the number of hours spent reading (R).
6. A baker is making cupcakes. The number of cupcakes (C) she can make depends on the amount of flour (F) she has. Complete the table and identify the dependent variable.
Amount of Flour (cups) | Number of Cupcakes ----------------------- | ------------------ 1 | 12 2 | 24 3 | 4 |
Dependent Variable:
7. In the equation y = 3x + 2, which variable is the dependent variable?
x
y
3
2
8. Which of the following is an example where 'cost' is the dependent variable?
Cost of ingredients to make a cake
Cost of a ticket based on distance traveled
Cost of a house
Cost of a car
9. Plot the following points on the graph. If y is the dependent variable, how does it change as x changes?
(1, 3), (2, 5), (3, 7), (4, 9)