Understanding Functions and Equations

The video tutorial covers Math 8 Unit 5 Lesson 4, focusing on functions through tables, equations, and graphs. It begins with an introduction to functions, followed by matching equations to graphs. The lesson then explores the relationship between distance and time using a track example. Finally, it reviews homework problems, providing solutions and explanations.

What is the main focus of the lesson in terms of functions?

• Exploring geometric shapes

• Studying historical mathematicians

• Understanding functions through tables, equations, and graphs

• Learning about algebraic expressions

Which graph matches the equation D = 60t?

• Graph A

• Graph B

• Graph D

• Graph C

In the equation q = 50 - 0.4d, what does 'd' represent?

• Time in hours

• Number of quarters

• Number of dimes

• Distance in miles

What is the output when the input is 1 for the equation D = 60t?

• 60

• 90

• 30

• 120

How many seconds did it take Kieran to run 6 meters?

• 2 seconds

• 1 second

• 3 seconds

• 4 seconds

Is time a function of distance in Kieran's running example?

• No, because distance is irrelevant

• Yes, because time is always constant

• No, because the same distance can have different times

• Yes, because each distance has a unique time

What was the high temperature on day seven?

• 58°

• 60°

• 59°

• 61°

On which days was the high temperature 61°?

• Day 1, 3, and 5

• Day 4, 6, and 8

• Day 3, 5, and 7

• Day 2, 4, and 6

What is the equation for Lyn's earnings if she earns $9.60 per hour?

• y = x / 9.60

• y = 9.60x

• y = 9.60 + x

• y = 9.60 - x

What is the solution to the system of equations using substitution?

• (3, -11)

• (3, 11)

• (-3, -11)

• (-3, 11)