Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how one quantity changes in relation to another.

Front

If you travel 150 miles on 5 gallons, what is the constant of proportionality in miles per gallon?

Back

30 miles per gallon.

Front

Which ratios are equivalent: 10/20 and 20/40?

Back

Yes, they are equivalent because both simplify to 1/2.

Front

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

Back

Divide the dependent variable by the independent variable for any pair of corresponding values.

Front

If 88 students are divided into 4 classes, how many students are in each class?

Back

22 students per class.

Front

What is the formula to calculate the constant of proportionality?

Back

Constant of Proportionality = y/x, where y is the dependent variable and x is the independent variable.

Front

If you earn $15 every 3 weeks, how much will you earn in 5 weeks?

Back

$25.

Front

What does it mean if two ratios are equivalent?

Back

It means they represent the same relationship between quantities.

Front

How can you express a constant of proportionality in a real-world context?

Back

For example, if a car travels 60 miles in 1 hour, the constant of proportionality is 60 miles per hour.

Front

What is the relationship between proportionality and linear functions?

Back

In a linear function, the constant of proportionality represents the slope of the line.