Gr 11 Math Lit: Ch 1.2 Representations

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What is a characteristic of a constant ratio relationship?

The graph is a straight line.
The relationship is only applicable to linear increases.
The graph becomes steeper at an increasing rate. (correct)
The value increases at a decreasing rate.

What type of relationship is represented by a graph with a flat portion and an increasing portion?

Combination of relationships (correct)
Linear relationship
Constant ratio relationship
Step-function relationship

What is an example of a constant ratio relationship?

Parking fees at a supermarket
Monthly cost of food purchases in a household (correct)
Monthly subscription fee for a cell phone contract
Per-minute call charges in a cell phone contract

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

Fixed monthly subscription fee (B) Signup and view all the answers

What is an example of a step-function relationship?

Parking fees at a supermarket (C) Signup and view all the answers

What is characteristic of a step-function relationship?

The graph looks like a series of steps. (B) Signup and view all the answers

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

Additional charges for call minutes (B) Signup and view all the answers

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

Step-function relationship (C) Signup and view all the answers

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 (B) Signup and view all the answers

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

A curved line that becomes steeper at an increasing rate (D) Signup and view all the answers

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

A cell phone contract (D) Signup and view all the answers

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 (D) Signup and view all the answers

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

Step-function relationship (C) Signup and view all the answers

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

The time interval (D) Signup and view all the answers

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 (C) Signup and view all the answers

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 (D) Signup and view all the answers

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

The graph becomes steeper at an increasing rate (D) Signup and view all the answers

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

The number of portions in the graph (A) Signup and view all the answers

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 (A) Signup and view all the answers

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

It is the starting point for the increase (B) Signup and view all the answers

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

To represent different types of increases in a single context (A) Signup and view all the answers

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

The type of increase in the value (C) Signup and view all the answers

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

Multiple portions with different types of increases (C) Signup and view all the answers

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

To represent different fees or values for different time intervals (D) Signup and view all the answers

Gr 11 Math Lit: Ch 1.2 Representations

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Questions and Answers

What is a characteristic of a constant ratio relationship?

What type of relationship is represented by a graph with a flat portion and an increasing portion?

What is an example of a constant ratio relationship?

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

What is an example of a step-function relationship?

What is characteristic of a step-function relationship?

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

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

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?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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