Unit Rates, Proportional Tables and Graphs

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

What does it mean for a table to be proportional?

Back

A table is proportional if the ratio of the values in one column to the values in another column is constant.

Front

How can you determine if a relationship is proportional in a table?

Back

You can determine if a relationship is proportional by dividing the y-values by the x-values. If the result is the same for all pairs, the relationship is proportional.

Front

What is the Constant of Proportionality?

Back

The Constant of Proportionality is the constant ratio (k) in a proportional relationship, often represented as y = kx.

Front

Which equation represents a proportional relationship?

Back

The equation y = 3x represents a proportional relationship because it can be expressed in the form y = kx.

Front

If Zeke earned $63 for 3 hours of tutoring, what is his hourly rate?

Back

Zeke's hourly rate is $21 per hour (63 ÷ 3 = 21).

Front

If Shana earned $95 for 5 hours of tutoring, what is her hourly rate?

Back

Shana's hourly rate is $19 per hour (95 ÷ 5 = 19).

Front

Who earns more per hour, Zeke or Shana?

Back

Zeke earns more per hour at $21 compared to Shana's $19.

Front

What is a proportional table?

Back

A proportional table lists pairs of numbers that maintain a constant ratio, meaning the relationship between the two quantities is proportional.

Front

How do you find the unit rate from a proportional table?

Back

To find the unit rate, divide the total amount by the number of units. For example, if a table shows 10 apples cost $5, the unit rate is $0.50 per apple (5 ÷ 10 = 0.5).