Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how much one quantity changes in relation to another. For example, if 5 packets of biscuits are produced per day, the constant of proportionality is 5.

Front

Which graph is proportional?

Back

A proportional graph is a straight line that passes through the origin (0,0). All of the graphs are proportional if they maintain a constant ratio.

Front

Write an equation for this relationship: If y is directly proportional to x and the constant of proportionality is 18.50.

Back

The equation is y = 18.50x.

Front

Esmerelda drives at the same speed for 3 hours and drives a total of 186 miles. What is the constant in this situation?

Back

The constant is 62 mph, calculated by dividing the total distance by the time (186 miles / 3 hours).

Front

Which equation represents this situation: A relationship where y is directly proportional to x with a constant of proportionality of 15?

Back

The equation is y = 15x.

Front

Define proportional relationship.

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What does it mean if a graph is not proportional?

Back

If a graph is not proportional, it does not represent a constant ratio between the two variables, often resulting in a curve or a line that does not pass through the origin.

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality from a table, divide the value of one variable by the corresponding value of the other variable for any pair of values.

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

Front

If y = 4x, what is the constant of proportionality?

Back

The constant of proportionality is 4.