Match the vocabulary word with the correct definition.
Question 1 options:
2
A rate that describes how one quantity changes in relation to another quantity.
3
Can be written as y = kx where k is the slope or rate of change.
The ratio of
is constant in a table.
Any graph that is both linear and contains the origin.
The ratio of the vertical change compared to the horizontal change,
. It is equal to the rate of change of the graph and the linear relationship.
Can be written as y = mx + b where m is the slope and b does not equal zero.
The ration of
is not constant in a table.
Any graph that is not linear or does not contain the origin.
2: Rate of change
3: Linear Equation
4: Constant of Proportionality
1: Slope
6: Nonlinear Equation
2. Rate of Change: A rate that describes how one quantity changes in relation to another quantity.
3. Direct Variation: Can be written as y = kx where k is the slope or rate of change. The ratio of y to x is constant in a table.
1. Linear Relationship: Any graph that is both linear and contains the origin.
5. Slope: The ratio of the vertical change compared to the horizontal change, denoted as (change in y)/(change in x). It is equal to the rate of change of the graph and the linear relationship.
4. Linear Equation: Can be written as y = mx + b where m is the slope and b does not equal zero.
6. Indirect Variation: The ratio of x to y is not constant in a table.
7. Nonlinear Relationship: Any graph that is not linear or does not contain the origin.
To match the vocabulary words with their correct definitions, we can break down each definition and identify key phrases and words that correspond to the vocabulary words.
Let's start with the vocabulary words:
1. Rate of Change
2. Linear Relationship
3. Slope
4. Constant of Proportionality
5. Non-Linear Relationship
Now, let's go through each definition and find the corresponding vocabulary word:
Definition 1: A rate that describes how one quantity changes in relation to another quantity.
This definition describes the concept of "Rate of Change," as it talks about how one quantity changes in relation to another quantity.
Definition 2: Can be written as y = kx where k is the slope or rate of change.
This definition describes the formula for a "Linear Relationship," as it specifically mentions the equation y = kx, where k represents the slope or rate of change.
Definition 3: The ratio of ___ is constant in a table.
This definition includes the phrase "is constant," which indicates a "Constant of Proportionality," as it implies that the ratio remains the same throughout the table.
Definition 4: Any graph that is both linear and contains the origin.
This definition matches the term "Linear Relationship," as it talks about a graph that is both linear (following a straight line) and contains the origin (x-coordinate and y-coordinate as (0,0)).
Definition 5: The ratio of the vertical change compared to the horizontal change, ___ . It is equal to the rate of change of the graph and the linear relationship.
This definition matches the term "Slope," as it defines the concept of the ratio of vertical change to horizontal change, which is equal to the rate of change and is a characteristic of a linear relationship.
Definition 6: Can be written as y = mx + b where m is the slope and b does not equal zero.
This definition refers to a "Linear Relationship," as it mentions the equation y = mx + b, where m represents the slope, which is associated with a linear relationship.
Definition 7: The ratio of ___ is not constant in a table.
This definition includes the phrase "is not constant," which indicates a "Non-Linear Relationship," as it implies that the ratio does not remain the same throughout the table.
Definition 8: Any graph that is not linear or does not contain the origin.
This definition corresponds to the term "Non-Linear Relationship," as it talks about a graph that is not linear (not following a straight line) or does not contain the origin.
Matching the definitions to their respective vocabulary words:
1. Rate of Change - Definition 1
2. Linear Relationship - Definitions 2 and 4
3. Slope - Definition 5
4. Constant of Proportionality - Definition 3
5. Non-Linear Relationship - Definitions 7 and 8