Non Proportional Relationships

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is not constant.

Front

What is the fixed cost in a non-proportional relationship?

Back

The fixed cost is a cost that does not change regardless of the number of items produced or sold, such as setup costs.

Front

If a company charges a setup fee plus a cost per item, what type of relationship is this?

Back

This is a non-proportional relationship because the total cost includes a fixed cost plus a variable cost.

Front

Calculate the total cost for 10 shirts if the setup cost is $40 and the cost per shirt is $12.

Back

Total cost = $40 + (10 shirts * $12/shirt) = $160.

Front

What is the formula for calculating total cost in a non-proportional relationship?

Back

Total Cost = Fixed Cost + (Variable Cost per Item * Number of Items).

Front

How do you find the cost per item from the total cost?

Back

Divide the total cost by the number of items: Cost per item = Total Cost / Number of Items.

Front

What is slope in the context of a graph?

Back

Slope is a measure of the steepness of a line on a graph, calculated as the change in y over the change in x.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in x.