Unit Rates in Tables

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities in an equation of the form y = kx.

Front

In the equation y = 1/8x, what is the constant of proportionality?

Back

k = 1/8

Front

In the equation y = -2x, what is the constant of proportionality?

Back

k = -2

Front

In the equation y = x, what is the constant of proportionality?

Back

k = 1

Front

How do you find the unit rate from a table?

Back

To find the unit rate from a table, divide the value of one quantity by the value of the other quantity to see how much of one corresponds to one unit of the other.

Front

What does the equation y = 45x represent?

Back

It represents a proportional relationship where for every 1 unit increase in x, y increases by 45 units.

Front

If a table shows 3 apples cost $9, what is the unit rate?

Back

The unit rate is $3 per apple.

Front

What is the relationship between unit rates and constant of proportionality?

Back

The unit rate is the same as the constant of proportionality in a proportional relationship.

Front

If y = 30x, what is the constant of proportionality?

Back

k = 30