Determining Unit Rates from Graphs

This video tutorial teaches how to determine the unit rate of a proportional relationship by examining graphs. It explains the characteristics of proportional and non-proportional relationships, how to identify them on graphs, and the concept of equivalent rates. The tutorial also covers converting rates to unit rates using the multiplicative inverse and provides examples, such as calculating Dorothy's running speed and the ratio of piano keys.

What does a straight line through the origin on a graph indicate?

• Non-proportional relationship

• Curved line relationship

• Proportional relationship

• Scatter plot relationship

Which graph does NOT represent a proportional relationship?

• Line not through the origin

• Straight line through the origin

• All of the above

• Curved line through the origin

What does a curved line through the origin on a graph indicate?

• Linear relationship

• Proportional relationship

• Non-proportional relationship

• Constant rate

How are all rates from a graph of a proportional relationship related?

• They decrease over time

• They are equivalent

• They are all different

• They are non-equivalent

What is the unit rate if the rate is three gallons of milk per two days?

• 3 gallons per day

• 1.5 gallons per day

• 2 gallons per day

• 0.5 gallons per day

Why might simplifying a rate not always yield a unit rate?

• Simplification can change the proportion

• It always yields a unit rate

• Simplification might not adjust the rate to per one unit

• Not all rates are simplifiable

What is the unit rate if the rate is six feet to four yards?

• 1 yard per foot

• 2 feet per yard

• 3 feet per yard

• 1.5 feet per yard

What speed did Dorothy achieve while running, according to the graph?

• 10 miles per hour

• 8 miles per hour

• 5 miles per hour

• 7 miles per hour

How many white keys correspond to one black key on a piano, according to the proportional relationship?

• 1.2 white keys

• 1.4 white keys

• 1.5 white keys

• 1.6 white keys

What is the importance of understanding proportional relationships in graphs?

• To simplify mathematical expressions

• All of the above

• To predict future values

• To determine equivalent rates