Multiple Representations

Front

What is an additive relationship?

Back

An additive relationship is when a quantity increases or decreases by a constant amount. For example, if you save $1 each week, your total savings increases by $1 each week.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when a quantity increases or decreases by a constant factor. For example, if you have 4 times as many apples as your friend, your number of apples is a multiplicative relationship.

Front

How can you represent an additive relationship with an equation?

Back

An additive relationship can be represented as y = mx + b, where m is the constant amount added each time, and b is the starting value.

Front

How can you represent a multiplicative relationship with an equation?

Back

A multiplicative relationship can be represented as y = kx, where k is the constant factor by which x is multiplied.

Front

What does the slope of a graph represent in an additive relationship?

Back

The slope represents the constant amount added for each unit increase in x.

Front

What does the slope of a graph represent in a multiplicative relationship?

Back

The slope represents the rate of change, indicating how much y changes for each unit increase in x.

Front

If Rachel saves $1 each week starting with $6, what is the equation representing her savings?

Back

S = 1t + 6, where S is the total savings and t is the number of weeks.

Front

If the cost of a corsage is 4 times the number of flowers, what is the equation?

Back

C = 4f, where C is the cost and f is the number of flowers.

Front

What is a table of values?

Back

A table of values shows pairs of numbers that represent the relationship between two variables, often used to illustrate additive or multiplicative relationships.

Front

How do you identify an additive relationship from a table?

Back

Look for a constant difference between the values in one column as the other column increases.