Constant Rate of Change/ Constant of Proportionality

Front

What is the definition of Constant Rate of Change?

Back

The Constant Rate of Change refers to a consistent change in one quantity relative to another, often represented as the slope of a line in a graph.

Front

What is the Constant of Proportionality?

Back

The Constant of Proportionality is the constant value (k) that relates two proportional quantities, expressed in the equation y = kx.

Front

How do you find the Constant of Proportionality from a ratio?

Back

To find the Constant of Proportionality, divide the output value (y) by the input value (x) in the ratio y/x = k.

Front

What does a linear graph represent in terms of Constant Rate of Change?

Back

A linear graph represents a Constant Rate of Change, indicating that as one variable increases, the other variable increases at a consistent rate.

Front

If Layla read 3 books in 2 months, what is her rate of change?

Back

The rate of change is 1.5 books per month, calculated as 3 books / 2 months.

Front

What is the formula for finding the slope of a line?

Back

The formula for finding the slope (m) is m = (y2 - y1) / (x2 - x1).

Front

In the equation y = kx, what does k represent?

Back

In the equation y = kx, k represents the Constant of Proportionality, indicating how much y changes for each unit change in x.

Front

How can you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of y to x is constant, meaning the graph passes through the origin and is a straight line.

Front

What is the relationship between the number of cookies and cups of flour in the recipe?

Back

The relationship is proportional, with a Constant of Proportionality of 16, meaning for every cup of flour, 16 cookies are made.

Front

If a worker uses 450 inches of wire for 300 springs, how much wire is needed for 1 spring?

Back

1.5 inches of wire is needed for 1 spring, calculated as 450 inches / 300 springs.