Understanding Step Graphs
A Grade 7 math worksheet focused on interpreting and creating step graphs, covering concepts like constant intervals and jumps in value.
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Standards
Understanding Step Graphs
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Read each question carefully and answer to the best of your ability. Show your work where applicable. For graphing questions, plot the points accurately.
Step graphs are used to represent situations where the value of a quantity changes abruptly at certain points, remaining constant between those points. Think of situations like parking fees, shipping costs, or tax brackets.
1. Which of the following scenarios would be best represented by a step graph?
The growth of a plant over time.
The distance traveled by a car at a constant speed.
The cost of mailing a letter based on its weight.
The temperature change throughout a day.
2. In a step graph, the value of the dependent variable remains over an interval, then makes a sudden to a new value.
3. An open circle on a step graph indicates that the point is in that interval, while a closed circle indicates it included.
A local library charges overdue fees as follows: $0.50 for the first 5 days overdue, $1.00 for 6-10 days overdue, and $2.00 for more than 10 days overdue. Draw a step graph to represent this.
5. Consider the following step graph showing the cost of a taxi ride based on distance:
a) What is the cost of a taxi ride for a distance of 1.5 km?
b) What is the maximum distance you can travel for $10?
6. A step graph can be used to show continuous growth.
True
False
7. The vertical lines in a step graph indicate a change in the value of the independent variable.
True
False
8. A children's museum charges admission based on age: - Under 2 years old: Free - 2 to 12 years old: $5 - Over 12 years old: $10 Create a step graph to represent the admission cost based on age.