Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

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

Back

To find the constant of proportionality from a graph, determine the slope of the line, which represents the rate of change between the two variables.

Front

What does a constant of proportionality of $0.25 indicate in a price graph?

Back

It indicates that for every unit increase in the independent variable (e.g., quantity of bananas), the dependent variable (price) increases by $0.25.

Front

If a cab ride costs $15 for 6 miles, what is the cost per mile?

Back

The cost per mile is $2.50, calculated by dividing the total cost by the number of miles.

Front

What is the relationship between y and x in proportional relationships?

Back

In proportional relationships, y is directly proportional to x, meaning y = kx, where k is the constant of proportionality.

Front

What does it mean if the constant of proportionality is the same as finding 'all of the above'?

Back

It means that the constant of proportionality can be interpreted in multiple ways, such as the slope of a line, the ratio of y to x, or the unit rate.

Front

How can 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.

Front

What is the formula for calculating the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

Front

In the context of a price table, what does a constant of proportionality of $5.25 represent?

Back

It represents that for every unit increase in the quantity of value meals, the total price increases by $5.25.

Front

What is the significance of the slope in a linear graph representing proportional relationships?

Back

The slope represents the constant of proportionality, indicating how much y changes for a unit change in x.