Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio that relates two quantities that are proportional to each other, often represented as k in the equation y = kx.

Tags

CCSS.7.RP.A.2B

Front

How do you identify a constant rate of change in a graph?

Back

A constant rate of change is identified by a straight line on a graph, indicating that as one quantity increases, the other quantity increases at a consistent rate.

Tags

CCSS.HSF-LE.A.1B

Front

What does a linear relationship look like in a graph?

Back

A linear relationship appears as a straight line, where the change in y is proportional to the change in x.

Tags

CCSS.HSF-LE.A.1B

Front

If the constant of proportionality is 2, what is the relationship between y and x?

Back

The relationship can be expressed as y = 2x, meaning for every unit increase in x, y increases by 2.

Tags

CCSS.7.RP.A.2B

Front

What is the formula for finding the constant of proportionality?

Back

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

Tags

CCSS.7.RP.A.2B

Front

What does it mean if a graph shows exponential growth?

Back

Exponential growth means that the quantity increases at a rate proportional to its current value, resulting in a curve that rises steeply.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.7.RP.A.2B

Front

What is the significance of the slope in a linear graph?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a constant rate of change indicate in a real-world scenario?

Back

A constant rate of change indicates that a quantity is changing at a steady rate over time, such as speed in a distance-time relationship.

Tags

CCSS.HSF-LE.A.1B

Front

If a line on a graph has a slope of 1/2, what does this mean?

Back

A slope of 1/2 means that for every 1 unit increase in x, y increases by 0.5 units.

Tags

CCSS.8.EE.B.5