Unit Rates and Proportional Relationships

The video tutorial reviews how to find unit rates from tables and graphs. It begins with an example using a pink lemonade recipe to demonstrate calculating unit rates from a table, emphasizing the importance of dividing the y-value by the x-value. The tutorial then transitions to finding unit rates from graphs, using a hiking distance example. It explains how to identify proportional relationships by checking for a straight line passing through the origin and demonstrates calculating unit rates by selecting points on the graph and dividing the y-value by the x-value.

What is the main learning objective of the lesson?

• Finding unit rates from tables and graphs

• Finding unit rates from word problems

• Finding unit rates from experiments

• Finding unit rates from equations

In the pink lemonade recipe example, what does the Y value represent?

• Lemons

• Water in liters

• Time in minutes

• Sugar in cups

How do you calculate the unit rate from a table?

• Add X and Y

• Subtract X from Y

• Multiply X by Y

• Divide Y by X

What is the unit rate if you have 24 lemons and 8 cups of sugar?

• 5

• 2

• 3

• 4

What are the two conditions that make a graph proportional?

• The line is curved and passes through the origin

• The line is curved and does not pass through the origin

• The line is straight and does not pass through the origin

• The line is straight and passes through the origin

What is the first step in calculating the unit rate from a graph?

• Find the y-intercept

• Pick any point on the graph

• Draw a line through the points

• Determine the slope

If a point on the graph has coordinates (10, 12), what is the unit rate?

• 1.3

• 1.2

• 1.1

• 1.0

What is the unit rate if the coordinates are (15, 18)?

• 1.2

• 1.4

• 1.3

• 1.1

What does the unit rate of 1.2 miles per hour represent in the hiking example?

• Distance hiked per minute

• Hours taken per mile

• Time taken per mile

• Miles hiked per hour

What is the final unit rate calculated from the graph?

• 1.0

• 1.1

• 1.2

• 1.3