Question

In algebra, we often study relationships where a change to one variable causes change

Answer 1

A familiar situation is: cost of books you pay for versus the quantity of books bought.

Cost of books ($) and quantity of books are directly proportionally related in the situation.

The graph will look like the graph in the attachment below.

A quantity (dependent variable) will change constantly in relation to another quantity (independent variable) if the relation is a proportional relationship.

• A familiar situation for example can be the cost you pay for books will be directly proportional or dependent on the number of books you bought.

That is:

• Number of books = independent variable

• Cost ($) = dependent variable

• A change in the number of books will cause a change in the cost you will pay for buying books.

This shows a direct proportional relationship between the two quantities.

On a straight line graph, the graph will be a proportional graph showing number of books on the x-axis against cost ($) you pay on the y-axis.

Therefore:

• A familiar situation is: cost of books you pay for versus the quantity of books bought.

• Cost of books ($) and quantity of books are directly proportionally related in the situation.

• The graph will look like the graph in the attachment below.

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