Constant of Proportionality 7.4C

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio between two variables, often represented as k in the equation y = kx.

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 total cost (y) by the number of tickets (x) for any pair of values.

Front

If 3 pounds of grapes cost $6.57, what is the constant of proportionality?

Back

The constant of proportionality is approximately $2.19 per pound.

Front

What does a constant of proportionality of 0.25 mean in a ticket pricing scenario?

Back

It means that for every ticket purchased, the cost is $0.25.

Front

If it takes 15 minutes to set up 5 tables, what is the constant of proportionality in minutes per table?

Back

The constant of proportionality is 3 minutes per table.

Front

In the equation h = 15t, what does the constant of proportionality represent?

Back

It represents that Mark climbs 15 feet for every hour (t) he climbs.

Front

How can you express the constant of proportionality in a graph?

Back

In a graph, the constant of proportionality is the slope of the line that represents the relationship between the two variables.

Front

What is the relationship between the constant of proportionality and direct variation?

Back

In direct variation, the constant of proportionality is the constant k in the equation y = kx, indicating a linear relationship.

Front

If a toy car travels 6 inches per second, what is the constant of proportionality?

Back

The constant of proportionality is 6 inches per second.

Front

What is the formula to calculate the constant of proportionality?

Back

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