Understanding Slope and Intercepts

The video tutorial covers four problems involving linear equations. It starts with Cheyenne's bank account, where a linear equation is used to predict her balance over weeks. The second problem models the decrease in potato inventory over days. The third problem calculates the total cost of assembling school kits. Finally, Natasha's marathon training is tracked using a linear equation. Each problem emphasizes understanding initial conditions, graphing, and interpreting linear relationships.

What is the initial amount of money Cheyenne has in her bank account?

• $40

• $5

• $0

• $100

How much money does Cheyenne add to her account each week?

• $5

• $2

• $15

• $10

What is the equation representing Cheyenne's bank balance over time?

• y = 5x + 40

• y = 40x + 5

• y = 5x - 40

• y = 40x - 5

What is the y-intercept in the graph of Cheyenne's bank account?

• 100

• 40

• 5

• 0

What does the slope of 5 represent in Cheyenne's bank account graph?

• Number of weeks

• Total balance

• Weekly addition

• Initial balance

What is the initial shipment of potatoes received by the grocery store?

• 1000 kg

• 900 kg

• 500 kg

• 100 kg

How many kilograms of potatoes are sold each day?

• 10 kg

• 15 kg

• 25 kg

• 20 kg

What is the equation representing the remaining potatoes over time?

• y = 25x - 900

• y = 900 + 25x

• y = 25x + 900

• y = 900 - 25x

What is the y-intercept in the graph of the potato shipment problem?

• 1000

• 900

• 25

• 0

What does the negative slope indicate in the potato shipment graph?

• No change

• Constant potatoes

• Decreasing potatoes

• Increasing potatoes