Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Front

If the constant of proportionality is k = 45, what does it mean in terms of distance and time?

Back

It means that for every 1 hour, the boat travels 45 miles.

Front

In the equation y = ½x, what is the constant of proportionality?

Back

1/2

Front

How do you find the unit rate from a total amount?

Back

Divide the total amount by the number of servings or units.

Front

What is the unit rate of 624 calories in 3 servings?

Back

208 calories per serving.

Front

Write an equation that represents a proportional relationship where the cost is 4 times the weight.

Back

y = 4x.

Front

If the constant of proportionality is 3, what is the relationship between x and y?

Back

y = 3x.

Front

What does a constant of proportionality of 1/2 indicate about the relationship between x and y?

Back

For every 2 units of x, y increases by 1 unit.

Front

If y = 2x, what is the constant of proportionality?

Back

2

Front

What is the meaning of a constant of proportionality in real-life situations?

Back

It represents a consistent ratio or rate between two quantities.