Understanding Linear Equations and Graphs

The video tutorial covers solving word problems using linear equations and graphs. It starts with calculating the total cost of a gym membership, including a registration fee and monthly charges, and represents this relationship graphically. The tutorial then shifts to a lemonade stand scenario, determining the number of glasses needed to break even and graphing the sales. Key concepts include understanding linear equations, graphing lines, and analyzing break-even points.

What is the initial cost to sign up for the gym membership?

• $39

• $668

• $200

• $239

How much does the gym charge per month after the registration fee?

• $39

• $200

• $668

• $239

In the equation p = 39m + 200, what does the number 39 represent?

• The monthly fee

• The total cost for one year

• The registration fee

• The y-intercept

What is the total cost of the gym membership after 12 months?

• $668

• $468

• $278

• $239

What is the price per glass of lemonade at Bobby and Petra's stand?

• $0.25

• $0.45

• $1.00

• $0.50

How much money do Bobby and Petra need to make to break even?

• $20

• $35

• $25

• $30

How many glasses of lemonade must be sold to break even?

• 55

• 60

• 56

• 50

What is the y-intercept in the lemonade stand graph?

• $9.00

• $4.50

• $25.00

• $0

If Bobby and Petra sell 20 glasses, how much will they earn?

• $18.00

• $9.00

• $25.00

• $4.50

What is the slope of the line in the lemonade stand graph?

• $0.45

• $0.25

• $1.00

• $0.50