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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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.

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.7.RP.A.2A

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.

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CCSS.7.RP.A.2B

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.

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CCSS.7.RP.A.2C

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).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

Who earns more per hour, Zeke or Shana?

Back

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

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CCSS.6.RP.A.3B

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.

Tags

CCSS.7.RP.A.2A

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).

Tags

CCSS.7.RP.A.2B