28 Questions
What is the main purpose of drawing graphs for unfamiliar situations?
To make sense of the situation and reveal patterns and trends
What type of relationships can be represented by graphs with different fees for different time intervals?
Step-function relationships
What is true about moving from one time interval to another in a step-function relationship?
The fee changes to a completely different amount unrelated to the previous fee
What skill is required to analyze the meaning of different portions of a graph?
Interpreting and analyzing graphs
What type of graph would best represent a non-linear relationship?
A curved graph
What is a key competency required of learners in graph interpretation?
Understanding the implications of different graph types
What is a characteristic of a constant ratio relationship?
The graph becomes steeper at an increasing rate.
What type of relationship is represented by a graph that is made up of different portions?
Combination of relationships
What is an example of a step-function relationship?
Parkings fees at a supermarket
What is the increasing portion of a graph in a combination of relationships?
Represents additional charges that increase linearly with usage.
What is a characteristic of a graph that represents a constant ratio relationship?
The graph becomes steeper at an increasing rate.
What is the flat portion of a graph in a combination of relationships?
Represents a fixed fee that does not change with usage.
What occurs in a constant ratio relationship when a value is increased by a factor?
The new value is increased by the factor, and then this new value is again increased by the factor.
What type of relationship is represented by a graph that has a flat portion and an increasing portion?
Combination of relationships
In a constant ratio relationship, what happens to the base value with each subsequent iteration?
It increases by a progressively larger amount
What is a key feature of a graph that represents a combination of relationships?
It has multiple distinct portions
In a step-function relationship, what determines the fee charged?
The time interval itself
What is a characteristic of a graph that represents a constant ratio relationship?
It becomes steeper at an increasing rate
What type of relationship is represented by a graph with a flat portion and a non-linear portion?
Combination of relationships
In a constant ratio relationship, what happens to the rate of increase?
It increases at an increasing rate
What is a key difference between a step-function relationship and a combination of relationships?
The way the fees change within each time interval
What is a consequence of a constant ratio relationship?
The value increases at an increasing rate
Which type of relationship is best represented by a graph with distinct fees for different time intervals, where each fee is not dependent on the previous fee?
Step-function relationship
What is the primary purpose of drawing graphs for real-world situations?
To identify patterns and trends
What is a key aspect of interpreting graphs in the context of real-world situations?
Analyzing the meaning of different portions of the graph
What type of graph is best suited to represent a situation where the rate of change is constant?
Linear graph
What is a characteristic of a combination relationship?
The graph has a flat portion and an increasing portion
What skill is required to recognize the implications of a step-function relationship?
Interpreting graphs
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