11/9: Math 7 Unit Rates & Constant of Proportionality Review

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity of one unit, such as miles per hour or price per item.

Front

What is the constant of proportionality?

Back

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

Front

How do you identify a proportional relationship from a graph?

Back

A proportional relationship is identified by a straight line that passes through the origin (0,0).

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

Write the equation for a proportional relationship where the constant of proportionality is 5.

Back

y = 5x.

Front

What is the relationship between distance and time in a proportional relationship?

Back

In a proportional relationship, distance (d) is directly proportional to time (t), often expressed as d = kt, where k is the constant of proportionality.

Front

If d = 1.2t, what is the unit rate?

Back

The unit rate is 1.2 miles per hour.

Front

Which of the following represents a proportional relationship: (0,0), (1,2), (2,4), (3,6)?

Back

Yes, this set of points represents a proportional relationship because they all lie on the line y = 2x.

Front

What does a table showing a proportional relationship look like?

Back

A table showing a proportional relationship has values that maintain a constant ratio between the two quantities.

Front

If a graph is a straight line but does not pass through the origin, what can you conclude?

Back

You can conclude that the relationship is not proportional.