Multiple Representations

Front

What does the equation y = 8x represent in a real-world context?

Back

It represents a situation where every spider has 8 legs.

Front

What does the equation y = 25x signify?

Back

It signifies a relationship where y is 25 times the value of x.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

Front

What does the term 'variable' mean in mathematics?

Back

A variable is a symbol used to represent an unknown value in mathematical expressions or equations.

Front

How can a table represent a relationship between two quantities?

Back

A table can show how one quantity changes in relation to another, often displaying input-output pairs.

Front

What is the meaning of the term 'cost function' in relation to buying items?

Back

A cost function describes how the total cost of an item changes based on the quantity purchased.

Front

What does the equation C = 4f indicate?

Back

It indicates that the cost (C) of a corsage is four times the number of flowers (f) in it.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change between the two variables in the equation.

Front

What does it mean if one variable is 'less than' another in an equation?

Back

It means that the value of the first variable is smaller than the value of the second variable.

Front

What is an example of a situation that can be modeled by the equation y = x + 25?

Back

This could represent a situation where one person has 25 more tokens than another.