Exploring Linear Equations and Their Solutions

The video tutorial covers solving linear word problems, focusing on real-life scenarios such as babysitting charges, sandwich production, dessert basket costs, computer depreciation, gym membership plans, and gasoline costs. Each problem is broken down using linear equations, emphasizing concepts like slope, y-intercept, and ordered pairs. The tutorial aims to prepare students for a test by reinforcing their understanding of linear relationships and their applications.

What is the initial cost Nicole charges for babysitting?

• $5

• $8

• $3

• $10

If Nicole babysits for 5 hours, how much will she earn?

• $30

• $28

• $25

• $20

What are the ordered pairs for the sandwich production problem?

• (3, 302) and (8, 1132)

• (5, 302) and (10, 1132)

• (4, 300) and (9, 1100)

• (4, 302) and (9, 1132)

How many sandwiches are produced in the 6th hour of work?

• 634

• 302

• 1132

• 166

What is the fixed weekly cost for Casey's dessert basket business?

• $250

• $200

• $150

• $100

How many baskets did Casey make if her total cost was $562.50?

• 160

• 100

• 120

• 145

What is the slope of the line modeling the computer's depreciation?

• $250 per year

• $200 per year

• $150 per year

• $100 per year

What is the value of the computer after 4.5 years?

• $300

• $500

• $200

• $400

Which gym plan should Jim choose if he goes 20 times a month?

• Plan B

• Both plans cost the same

• Neither plan

• Plan A

What is the equation representing the cost of gas per gallon?

• y = 2.70x

• y = 2.60x

• y = 2.50x

• y = 2.40x