PAR 4.2 (constant of proportionality) - REMEDIATION

Front

What is the constant of proportionality in a proportional relationship?

Back

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

Front

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

Back

To determine the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values. The result should be the same for all pairs.

Front

What is the unit rate, and how is it related to the constant of proportionality?

Back

The unit rate is the constant of proportionality expressed as a quantity per one unit of another quantity, indicating how much of one quantity corresponds to one unit of another.

Front

Given the equation y = 7x, what is the constant of proportionality?

Back

The constant of proportionality is 7, meaning for every unit increase in x, y increases by 7.

Front

If 624 calories are consumed in 3 servings, how do you find the calories per serving?

Back

To find the calories per serving, divide the total calories (624) by the number of servings (3), resulting in 208 calories per serving.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship, meaning as one quantity changes, the other changes at a consistent rate.

Front

How can you identify a proportional relationship from a set of equations?

Back

A proportional relationship can be identified if the equation can be expressed in the form y = kx, where k is a non-zero constant.

Front

What is the significance of the constant of proportionality in real-world applications?

Back

The constant of proportionality helps to understand relationships between quantities, such as speed, density, and price per unit, allowing for predictions and calculations.

Front

How do you express the constant of proportionality when given a ratio?

Back

To express the constant of proportionality from a ratio, simplify the ratio to its lowest terms, which will give you the constant k.

Front

What is the relationship between the constant of proportionality and graphing proportional relationships?

Back

In a graph of a proportional relationship, the constant of proportionality is the slope of the line, which passes through the origin (0,0).