6.6b Analyze Table Relationships

Front

What is a multiplicative relationship?

Back

A relationship where one quantity is a constant multiple of another. For example, if doubling one quantity results in doubling another, the relationship is multiplicative.

Front

What is an additive relationship?

Back

A relationship where a constant is added to one quantity to get another. For example, if adding 4 to one quantity results in another, the relationship is additive.

Front

How can you identify a multiplicative relationship in a table?

Back

Look for a consistent ratio between the values of two quantities. If you can multiply one quantity by a constant to get the other, it is multiplicative.

Front

What does the equation v = s + 4 represent?

Back

It represents a relationship where Veronica's age (v) is 4 years older than Santiago's age (s).

Front

If Samuel is filling a water bottle, what does a multiplicative relationship between hours (X) and water (Y) imply?

Back

It implies that the amount of water increases proportionally with the time spent filling the bottle.

Front

What does the equation c = 8.5h represent?

Back

It represents a relationship where the cost (c) is 8.5 times the number of hours (h) worked.

Front

What is the independent quantity in the equation v = s + 4?

Back

Santiago's age (s) is the independent quantity, as it determines Veronica's age (v).

Front

What is the dependent quantity in the equation c = 8.5h?

Back

The cost (c) is the dependent quantity, as it depends on the number of hours (h) worked.

Front

If a table shows values that double, what type of relationship is it showing?

Back

A multiplicative relationship.

Front

What is the difference between independent and dependent quantities?

Back

Independent quantities can change freely, while dependent quantities depend on the values of independent quantities.