Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities. It can be found by dividing one quantity by the other.

Front

If y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality, which indicates how much y changes for a unit change in x.

Front

Identify the constant of proportionality if k = 5.

Back

The constant of proportionality is 5, meaning for every unit increase in x, y increases by 5.

Front

Identify the constant of proportionality if k = 1.50.

Back

The constant of proportionality is 1.50, indicating that for every unit increase in x, y increases by 1.50.

Front

What is the price per ticket if the total cost for 4 tickets is $252?

Back

The price per ticket is $63.00, calculated by dividing the total cost by the number of tickets.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two quantities remains constant.

Front

What does it mean if k = 1?

Back

If k = 1, it means that the two quantities are equal; for every unit increase in x, y increases by 1.

Front

What is the formula to find the constant of proportionality?

Back

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

Front

If a table shows values of x and y, how can you check for proportionality?

Back

To check for proportionality, calculate the ratio y/x for each pair of values. If all ratios are equal, the relationship is proportional.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the cost of apples per pound; if 1 pound costs $2, then 2 pounds cost $4, maintaining a constant ratio.