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Gr 11 Math Lit: Ch 1.2 Representations

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24 Questions

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 with a flat portion and an increasing portion?

Combination of relationships

What is an example of a constant ratio relationship?

Monthly cost of food purchases in a household

What is represented by the flat portion of a graph in a cell phone contract?

Fixed monthly subscription fee

What is an example of a step-function relationship?

Parking fees at a supermarket

What is characteristic of a step-function relationship?

The graph looks like a series of steps.

What is represented by the increasing portion of a graph in a cell phone contract?

Additional charges for call minutes

What type of relationship does a graph with a series of steps represent?

Step-function relationship

When a value is increased by a factor and then the new increased value is again increased by the same factor, what type of relationship is represented?

Constant ratio relationship

What is the shape of the graph of a constant ratio relationship?

A curved line that becomes steeper at an increasing rate

What is an example of a situation where a combination of relationships might be used?

A cell phone contract

What is the difference between a flat portion and an increasing portion of a graph?

The flat portion is where the value stays the same, and the increasing portion is where it increases

What type of relationship is represented by a graph with a series of steps?

Step-function relationship

What determines the fee charged in a step-function relationship?

The time interval

What is the significance of the base value in a constant ratio relationship?

It is the previous value that is used to calculate the new value

What is the main difference between a constant ratio relationship and a linear relationship?

A constant ratio relationship is not linear, while a linear relationship is

What is the primary characteristic of a constant ratio relationship in a graph?

The graph becomes steeper at an increasing rate

What is the main difference between a constant ratio relationship and a combination of relationships?

The number of portions in the graph

In a step-function relationship, what determines the fee charged for a given time interval?

The same fee applies regardless of the exact value within the interval

What is the significance of the base value in a constant ratio relationship?

It is the starting point for the increase

What is the purpose of a combination of relationships in a graph?

To represent different types of increases in a single context

What is the primary difference between a flat portion and an increasing portion of a graph?

The type of increase in the value

What is the characteristic of a graph that represents a combination of relationships?

Multiple portions with different types of increases

What is the purpose of a step-function relationship in a graph?

To represent different fees or values for different time intervals

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