8.EE.5: Constant of Proportionality

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.

Tags

CCSS.7.RP.A.2B

Front

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

Back

To find the constant of proportionality from a graph, identify two points on the line, (x1, y1) and (x2, y2), and use the formula k = y/x.

Tags

CCSS.7.RP.A.2B

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second term is 1. It represents how much of one quantity corresponds to one unit of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If 18 orders are made in 3 days, what is the unit rate of orders per day?

Back

6 orders per day.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula to calculate the constant of proportionality?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Tags

CCSS.7.RP.A.2B

Front

If the constant of proportionality is 10, what does this mean in a real-world context?

Back

It means that for every unit increase in x, y increases by 10 units.

Tags

CCSS.7.RP.A.2B

Front

What does a constant of proportionality of 1/4 indicate?

Back

It indicates that for every 4 units of x, y increases by 1 unit.

Tags

CCSS.7.RP.A.2B

Front

How can you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are constant, meaning the constant of proportionality remains the same.

Tags

CCSS.7.RP.A.2A

Front

What is the relationship between the constant of proportionality and direct variation?

Back

In direct variation, the constant of proportionality is the constant 'k' in the equation y = kx, indicating a linear relationship.

Front

If the constant of proportionality is 8, what is the value of y when x = 4?

Back

y = 8 * 4 = 32.

Tags

CCSS.7.RP.A.2B