Multiple Representations

Front

What does it mean when we say 'Tyson’s age is 4 years less than Jace’s'?

Back

This means that if you take Jace's age and subtract 4 years, you will get Tyson's age.

Front

How do you represent the total weight of a backpack and an instrument in an equation?

Back

The equation is 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 indicated by an additive graph?

Back

An additive relationship means that as one quantity increases, the other quantity increases by a constant amount.

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

How can you identify a relationship from a graph?

Back

You can identify a relationship by looking at the pattern of points and determining if they follow a specific rule, like additive or multiplicative.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship occurs when one quantity is a constant multiple of another quantity.

Front

What does the equation y = 10 + x represent in a real-world context?

Back

It represents a situation where a student carries a backpack weighing 10 pounds and an additional item weighing x pounds.

Front

How do you determine the dependent quantity in a relationship?

Back

The dependent quantity is usually the output value that depends on the independent quantity, often represented as y in equations.

Front

What is the significance of the independent quantities in a table?

Back

Independent quantities are often listed in the first column of a table and represent the input values for a function.

Front

What does it mean if a graph shows a straight line?

Back

A straight line in a graph indicates a consistent relationship between the two quantities, either additive or multiplicative.