Constant of Proportionality, y=kx

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality (k) is the ratio of y to x, representing how much y changes for a unit change in x.

Front

Which equation represents a proportional relationship?

Back

y = kx, where k is a non-zero constant.

Front

What does the equation c = 4.5p represent in a grocery store context?

Back

It represents the total cost (c) of buying p pounds of cantaloupes at $4.50 per pound.

Front

What is the origin in the coordinate plane?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect.

Front

Identify an equation that does NOT represent a proportional relationship.

Back

y = 5x - 7 does not represent a proportional relationship because it has a constant term.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.

Front

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

Back

Divide the value of y by the corresponding value of x for any pair of values; the result is the constant of proportionality.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What does it mean if two quantities are proportional?

Back

It means that as one quantity increases or decreases, the other quantity changes at a constant rate.

Front

Write an equation for a proportional relationship where the constant of proportionality is 2.

Back

y = 2x.