Comparing Linear Functions Through Real Life Examples

The video tutorial covers input-output tables and graphing linear functions. It begins with creating an input-output table for a given function, emphasizing the importance of choosing appropriate x-values. The tutorial then presents a real-life example of a bicycle rental company, explaining how to create a cost function and graph it. Finally, it compares two companies' rental costs using linear functions, teaching students to analyze and make cost-effective decisions.

What is the initial function discussed in the lesson?

• y = 2/3x - 3

• y = 3x - 2

• y = x/3 - 2

• y = 2x - 3

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Why is it recommended to choose multiples of 3 for x-values in the function y = 2/3x - 3?

• To make the graph linear

• To avoid using fractions

• To ensure accurate calculations

• To simplify the multiplication

What is the initial cost to rent a bicycle from the company discussed?

• $30

• $15

• $20

• $25

Tags

CCSS.HSF.LE.B.5

How much does it cost to rent a bicycle for three hours from the first company?

• $32.50

• $27.50

• $30.00

• $35.00

Tags

CCSS.8.EE.B.5

At what rental duration do the costs from both companies become equal?

• 1 hour

• 2 hours

• 3 hours

• 4 hours

Tags

CCSS.8.EE.C.8C

Which company is cheaper for a one-hour rental?

• Company 1

• Neither

• Company 2

• Both are the same

For a four-hour rental, which company offers a better rate?

• Company 2

• Company 1

• Both offer the same rate

• Neither offers a good rate

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the cost of renting a bike for 10 hours from the first company?

• $55.00

• $35.00

• $45.00

• $50.00

What mathematical concept is primarily discussed in the lesson?

• Quadratic functions

• Logarithmic functions

• Linear functions

• Exponential functions

Tags

CCSS.HSF-IF.C.7E

What is the purpose of creating input-output tables in the lesson?

• To calculate derivatives

• To graph linear functions

• To integrate functions

• To solve equations

Tags

CCSS.8.EE.B.5