Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It remains constant as the values change.

Front

Which ratios are proportional? 10/20 and 20/40, or 10/17 and 20/40?

Back

10/20 and 20/40 are proportional because they simplify to the same ratio (1/2).

Front

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

Back

To find the constant of proportionality from a table, divide the output value by the input value for any pair of corresponding values.

Front

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

Back

You earn $25 in 5 weeks.

Front

What does it mean if two ratios are proportional?

Back

It means that they have a constant ratio or relationship between them.

Front

Identify the constant of proportionality if k = 3.

Back

The constant of proportionality is 3.

Front

What is the formula to find the constant of proportionality?

Back

k = y/x, where y is the output and x is the input.

Front

If a car travels at a constant speed of 45 mph, what is the distance traveled in 2 hours?

Back

The distance traveled is 90 miles.

Front

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

Back

An example is the relationship between distance and time when driving at a constant speed.

Front

If k = 1.50, what does this indicate about the relationship?

Back

It indicates that for every unit increase in x, y increases by 1.50.