Review-Constant of Proportionality-ACC

Front

What is the constant of proportionality?

Back

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

Front

How do you find the constant rate of change?

Back

To find the constant rate of change, divide the change in the dependent variable by the change in the independent variable: Rate of Change = \frac{\Delta y}{\Delta x}.

Front

If 624 calories are consumed in 3 servings, what is the constant rate of change in calories per serving?

Back

208 calories per serving.

Front

In the equation y = \frac{1}{2}x, what is the constant of proportionality?

Back

The constant of proportionality is \frac{1}{2}.

Front

Which equation can be used to solve for k in a proportional relationship?

Back

k = \frac{y}{x}.

Front

What does the equation c = $0.19b represent?

Back

This equation represents the cost (c) of bananas, where $0.19 is the cost per banana and b is the number of bananas.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of corresponding values are constant across the table.

Front

What is the formula for finding the constant of proportionality from a graph?

Back

The constant of proportionality can be found by determining the slope of the line in a graph representing a proportional relationship.

Front

If a table shows values (2, 0.38), (4, 0.76), (6, 1.14), what is the constant of proportionality?

Back

The constant of proportionality is 0.19.