Comparing Proportional Relationships: Tables, Graphs, and Equations

This video tutorial teaches how to compare functions with proportional relationships using tables, graphs, and equations. It includes examples of comparing costs of arcades and growth rates of plants, and concludes with a comparison of fruit costs. Key concepts include understanding slopes, unit rates, and constant rates of change.

What is the purpose of comparing functions with proportional relationships?

• To focus on graph interpretation

• To learn about linear equations only

• To compare different data sets effectively

• To understand the concept of slope

How is the unit rate determined from a graph?

• By counting the number of points

• By finding the slope of the graph

• By measuring the graph's length

• By calculating the area under the graph

What does the slope of a line in a graph represent in the context of proportional relationships?

• The unit rate or rate of change

• The total number of data points

• The maximum value of the dataset

• The difference between the highest and lowest values

Why is it important to find the unit rate in comparisons of proportional relationships?

• To determine the constant rate of change

• To calculate the total number of units

• To identify the graph's intercepts

• To understand the graph's curvature

Which arcade offers a lower cost per hour?

• High Point Gaming

• Ollie's Arcade

• Both offer the same rates

• The video does not specify

What is the unit rate of growth for the sunflower per day?

• 1.25 inches

• 0.75 inches

• 2 inches

• 1 inch

Which plant grows faster according to the data provided?

• The sunflower

• The tomato plant

• Both grow at the same rate

• The video does not specify

What is the unit rate for the cost of strawberries per pound?

• $1.50

• $1.85

• $2.50

• $2.00

How can the unit rate for grapes be determined from the table?

• Through division of y by x values

• By subtracting x from y values

• By multiplying x values by 2

• By addition of all values

Which fruit is cheaper per pound according to the given data?

• The video does not provide enough information

• Both cost the same

• Grapes

• Strawberries