Exploring Linear Relationships in Word Problems

This video tutorial covers modeling linear relationships through word problems. It includes examples such as a department store's reward system, a band booster club's fundraising efforts, and a sandwich shop's sales. The tutorial explains how to write and solve linear equations, graph them, and interpret the results. Key concepts include understanding variables, multipliers, and the importance of linear relationships in real-world scenarios.

What is the initial number of points a customer earns when they sign up for the frequent buyer's card?

• 10 points

• 40 points

• 30 points

• 20 points

If a customer has 125 points, how many transactions have they made?

• 11 transactions

• 10 transactions

• 9 transactions

• 8 transactions

What is the goal amount of money the band booster club needs to raise?

• $1000

• $1200

• $2000

• $1500

How much does each t-shirt cost in the band booster club example?

• $25

• $10

• $20

• $15

In the band booster club example, what does the y-axis represent in the graph?

• Total money raised

• Number of blanket wraps

• Number of transactions

• Number of t-shirts

If the band booster club sells no t-shirts, how many blanket wraps do they need to sell to meet their goal?

• 60 blanket wraps

• 50 blanket wraps

• 30 blanket wraps

• 40 blanket wraps

How much does each sandwich cost in the sandwich shop example?

• $4

• $3

• $6

• $5

What is the total amount of money the sandwich shop owner needs to earn by the end of the day?

• $70

• $60

• $50

• $75

In the sandwich shop example, what is the slope of the line in the graph?

• -1

• -2

• -3

• -5

If the sandwich shop sells no bottles of water, how many sandwiches must they sell to earn $75?

• 15 sandwiches

• 12 sandwiches

• 10 sandwiches

• 18 sandwiches