Constant Rate of Change Concepts

The video tutorial covers the concept of constant rate of change, explaining how it is represented in graphs, equations, and tables. It discusses the constant of proportionality, K, and how it relates to linear equations. The tutorial also explores practical applications, such as calculating hourly rates and analyzing scenarios to identify non-constant rates.

What is the constant rate of change in a linear equation?

• The slope of the line

• The y-intercept

• The x-intercept

• The area under the line

How is a constant rate of change represented on a graph?

• A straight line through the origin

• A horizontal line

• A curved line

• A vertical line

If K = y/x, what does K represent?

• The y-coordinate

• The constant rate of change

• The origin

• The x-coordinate

What is the equation form when solving for y in terms of x and K?

• y = K + x

• y = Kx

• y = x/K

• y = x - K

How can you verify the constant rate of change using a table?

• By adding the x and y values

• By dividing y by x for each pair

• By multiplying x and y

• By subtracting x from y

In the context of running laps, what does the constant rate of change represent?

• The time taken per lap

• The total distance run

• The speed or rate of running

• The number of laps completed

What is the constant rate of change if Janis ran 8 laps in 10 minutes?

• 1.2 laps per minute

• 0.8 laps per minute

• 10 laps per minute

• 8 laps per minute

How do you find the constant rate of change in a table with x and y values?

• By adding all x values

• By multiplying x and y

• By subtracting y from x

• By dividing y by x for each pair

What is the hourly rate if Missy earned $216.92 for 23.82 hours of work?

• $9.10

• $9.35

• $10.00

• $8.50

Which of the following does NOT represent a constant rate of change?

• 1/9 = 2/18 = 3/27

• 2/3 = 6/9 = 10/15

• 10/2 = 13/5

• 10/4 = 20/8 = 30/12