Analyzing Linear Functions and Graphs

In this episode of 'Mr. Boskin Does Some Math', the lesson covers various math problems involving graph analysis and equation writing. The video begins with a comparison of car speeds using distance-time graphs, followed by an analysis of car service costs through graph slopes. The lesson then examines a race between Kieran and Claire, focusing on graph interpretation. Finally, the video demonstrates how to write equations for different types of lines, including horizontal, vertical, and sloped lines. The episode concludes with a summary of the key points discussed.

Which car travels faster based on the graph of distance over time?

• Car B

• Cannot be determined from the graph

• Both cars travel at the same speed

• Car A

What is the initial charge for Service A?

• 60 cents

• 50 cents

• 40 cents

• 30 cents

How does the additional charge per mile for Service B compare to Service A?

• More than 30 cents per mile

• Exactly 30 cents per mile

• Less than 30 cents per mile

• Cannot be determined

In the race between Kieran and Claire, what is the main difference in their race paths?

• Kieran runs faster than Claire

• Kieran's house is closer to school

• They start from different locations

• Claire's house is closer to school

What is the same about Kieran and Claire's race paths?

• The distance from school

• The y-intercept

• The time taken to reach school

• The starting point

What is the equation for a horizontal line?

• x = mx + b

• y = a number

• x = a number

• y = mx + b

What is the slope of the black line?

• 4

• 2

• 1

• 3

Which line has a negative slope?

• Yellow line

• Blue line

• Red line

• Green line

What is the y-intercept of the red line?

• 10

• 0

• -6

• 5

What is the equation of the yellow line?

• y = 3x + 5

• y = 3x - 5

• y = -3x - 5

• y = -3x + 5