Multiple Representations

Front

What is the equation to find the total weight of a backpack and an instrument?

Back

y = 10 + x, where y is the total weight, 10 is the weight of the backpack, and x is the weight of the instrument.

Front

What type of relationship is represented when one quantity increases by a constant amount as another quantity increases?

Back

Additive relationship.

Front

If the number of dimes is 5 less than the number of quarters, how can we represent this relationship in a table?

Back

A table showing dimes as 'quarters - 5'.

Front

What are independent quantities in a relationship?

Back

Independent quantities are the values that can be changed freely, such as the input values in a function.

Front

What are dependent quantities in a relationship?

Back

Dependent quantities are the values that depend on the independent quantities, such as the output values in a function.

Front

If a student has 3 quarters, how many dimes do they have if dimes are 5 less than quarters?

Back

They have 3 - 5 = -2 dimes (not possible, so they need at least 5 quarters to have non-negative dimes).

Front

What does it mean for a relationship to be multiplicative?

Back

In a multiplicative relationship, one quantity is a constant multiple of another.

Front

How can you represent a relationship using a graph?

Back

By plotting points that correspond to the independent and dependent quantities.

Front

What is the difference between independent and dependent variables in a function?

Back

Independent variables are inputs, while dependent variables are outputs that depend on the inputs.

Front

What is an example of an additive relationship in real life?

Back

Adding the number of apples and oranges in a fruit basket.