Grade 8 Step Graphs Worksheet
Explore step graphs with this worksheet, focusing on interpreting and creating them based on real-world scenarios.
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Grade 8 Step Graphs Worksheet
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Read each question carefully and answer to the best of your ability. For graphing questions, draw your graphs clearly on the provided grid. Remember to label your axes and include a title.
1. Which of the following scenarios would best be represented by a step graph?
The height of a plant over time.
The temperature of water as it heats up.
The cost of postage for a letter based on its weight.
The speed of a car accelerating.
2. In a step graph, what do the horizontal segments represent?
A continuous change in value.
A constant value over an interval.
An immediate jump in value.
A decrease in value.
3. A step graph is also known as a function.
4. In a step graph, an open circle indicates that the point is in the interval, while a closed circle indicates it is .
Use the following information to answer questions 5 and 6.
A local parking garage charges based on the following rates:
• Up to 1 hour: $5.00
• Over 1 hour up to 2 hours: $8.00
• Over 2 hours up to 3 hours: $10.00
• Over 3 hours up to 4 hours: $12.00
5. How much would it cost to park for exactly 2 hours?
6. If you paid $10.00 for parking, what is the minimum and maximum amount of time you could have parked?
7. Create a step graph to represent the parking garage rates described in questions 5 and 6. Label your axes clearly (Time in Hours on the x-axis, Cost in Dollars on the y-axis) and include a title for your graph.
8. A step graph always has a constant slope within each interval.
True
False
9. The value of a step function changes abruptly at specific points.
True
False
10. Describe a real-world situation, other than parking or postage, that could be modeled by a step graph. Explain why a step graph is appropriate for your example.