Comparing Linear Functions and Costs

This video tutorial for Grade 8 Math, Chapter 6.3a, focuses on comparing functions using tables, graphs, and equations. It explains how to derive an equation from a table of values by calculating the slope and y-intercept. The tutorial uses a practical example of comparing the costs of two music services to illustrate these concepts. The video concludes with a summary and a preview of the next lesson on comparing tables to graphs.

What are the three methods mentioned for comparing functions?

• Tables, graphs, and equations

• Equations, lists, and tables

• Tables, charts, and diagrams

• Graphs, charts, and lists

What is the equation for Emma's music service cost?

• y = 0.99x

• y = 0.50x + 6

• y = 1.00x + 4

• y = 0.75x + 5

What is the first step in finding the slope from a table of values?

• Subtract the x-values

• Multiply by a round number

• Find the y-intercept

• Choose any two ordered pairs

What is the slope of Talib's service cost equation?

• 0.99

• 0.75

• 0.50

• 1.00

How do you find the y-intercept in the equation?

• By using the slope and any point

• By subtracting x-values

• By dividing the slope by x

• By adding y-values

What is the y-intercept for Talib's service cost equation?

• 0

• 5

• 6

• 10

Which service is cheaper for downloading 20 songs?

• Both are the same

• Talib's service

• Emma's service

• Cannot be determined

How much cheaper is Emma's service compared to Talib's for 20 songs?

• $4.00

• $2.50

• $3.80

• $1.80

What is the next topic after comparing tables to equations?

• Comparing graphs to descriptions

• Comparing equations to graphs

• Comparing tables to descriptions

• Comparing tables to graphs