Unit Rates and Proportions Analysis

Mr. Dell introduces the concept of a proportions web, which includes a unit rate, table, graph, and equation. He uses a problem from CPM Course 2, Section 5.1.1, to demonstrate how to set up a ratio, calculate a unit rate, create a table, and sketch a graph. The example involves calculating the earnings of a laboratory technician working 40 hours a week. The video guides viewers through the process of dividing the initial ratio to find the unit rate and using it to complete the proportions web.

What is the main purpose of a proportions web?

• To solve algebraic equations

• To compare different types of graphs

• To calculate the average of two numbers

• To represent a proportion using various methods

Which of the following is NOT a component of a proportions web?

• Pie chart

• Graph

• Table

• Unit rate

What information is given about Clifford's work?

• He works 30 hours a week

• He works part-time

• He earns $500 per week

• He works 40 hours a week and earns $453.60

What is the initial ratio set up for Clifford's earnings?

• $453.60 for 30 hours

• $453.60 for 40 hours

• $500 for 40 hours

• $400 for 40 hours

How is the unit rate calculated from the initial ratio?

• By dividing the total earnings by the total hours

• By subtracting the total hours from the total earnings

• By multiplying the total earnings by the total hours

• By adding the total earnings and total hours

What is the process of dividing the total earnings by the total hours called?

• Setting up a ratio

• Creating a table

• Finding the average

• Calculating the unit rate

What is the purpose of dividing the total earnings by 40 in the unit rate calculation?

• To find the total hours worked

• To find the earnings per hour

• To find the total earnings

• To find the average earnings

What is the result of dividing $453.60 by 40?

• $10.00

• $11.34

• $12.50

• $15.00

What is the unit rate of Clifford's earnings per hour?

• $15.00

• $12.50

• $11.34

• $10.00

What does the table in a proportions web help to visualize?

• The average earnings

• The maximum earnings

• The relationship between hours and earnings

• The total earnings