Multiple Representations

Front

What is a dependent quantity?

Back

A dependent quantity is a variable whose value depends on another variable. For example, in the equation y = 3x, y is dependent on the value of x.

Front

What is an independent quantity?

Back

An independent quantity is a variable that can change freely without being affected by other variables. For example, in the equation y = 3x, x is independent.

Front

What does the equation C = 4f represent?

Back

This equation shows that the cost (C) of a corsage is four times the number of flowers (f) in it.

Front

What is an additive relationship?

Back

An additive relationship is when one quantity increases by a constant amount as another quantity increases. For example, if you earn 2 points for each movie you watch, the total points is additive.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when one quantity is multiplied by a constant to get another quantity. For example, if you earn 3 points for each movie, the total points is multiplicative.

Front

What is the equation for total points earned if each movie earns 3 points?

Back

The equation is y = 3x, where y is the total points and x is the number of movies.

Front

What does the term 'quantity' mean in mathematics?

Back

A quantity refers to an amount or number that can be measured or counted.

Front

How do you identify independent quantities from a list?

Back

Independent quantities can be identified as those that do not rely on each other. For example, the list 1, 3, 5, 7 shows independent quantities.

Front

What is the significance of the equation C = f + 6?

Back

This equation indicates that the cost of a corsage (C) is equal to the number of flowers (f) plus 6, suggesting a fixed cost added to the variable cost.

Front

What is the difference between dependent and independent variables?

Back

Dependent variables depend on the value of independent variables. Independent variables can change freely.