Proportionality, constant of proportionality

Front

What does the equation y = kx represent?

Back

It represents a proportional relationship where y is directly proportional to x, and k is the constant of proportionality.

Front

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

Back

The constant of proportionality (k) is the factor that relates y to x in a proportional relationship.

Front

If k = 46 in the equation y = kx, what does this mean?

Back

It means that for every unit increase in x, y increases by 46 units.

Front

How can you determine if a table of values is proportional?

Back

A table is proportional if the ratio of y to x is constant for all pairs of values.

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

If $500 is earned for every 8 hours worked, what is the unit rate?

Back

The unit rate is $62.50 per hour.

Front

What does it mean if a graph is linear and passes through the origin?

Back

It indicates a proportional relationship between the two variables.

Front

If q = 4.5 in a proportion, what does this signify?

Back

It signifies the value of q that maintains the equality in the proportion.

Front

What is the first step to solve a proportion?

Back

Cross-multiply the terms to create an equation.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not.