constant of proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of y to x in a proportional relationship, represented as y/x.

Front

How can you determine if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

If a recipe requires 2 cups of flour for 4 servings, how much flour is needed for 10 servings?

Back

5 cups of flour (constant of proportionality is 2/4 = 0.5 cups per serving).

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.

Front

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours?

Back

180 miles (constant of proportionality is 60 miles per hour).

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality.

Front

Which of the following represents a proportional relationship: (2,4), (3,6), (4,8), (5,10)?

Back

All pairs represent a proportional relationship because they all have the same ratio of 1:2.

Front

What is an example of a non-proportional relationship?

Back

A relationship where the ratio changes, such as (1,2), (2,5), (3,7).

Front

If a store sells 5 apples for $3, how much would 15 apples cost?

Back

$9 (constant of proportionality is $3/5 apples).

Front

What is the graphical representation of a proportional relationship?

Back

A straight line that passes through the origin.