Constant of Proportionality and Unit Rates

The video tutorial explains how proportional relationships can be represented using equations, tables, and graphs. It demonstrates finding the constant of proportionality, or slope, through various examples, including canoe rentals, savings accounts, and babysitting earnings. The tutorial also covers deriving equations from tables and real-world scenarios, emphasizing the formula y = mx.

What is the first step in writing an equation for a proportional relationship?

• Find the y-intercept

• Identify the slope

• Determine the x-intercept

• Calculate the average

In the canoe rental example, what is the constant of proportionality?

• 20

• 12

• 10

• 15

How do you know that Miguel's savings account graph represents a proportional relationship?

• It is a curved line

• It is a straight line through the origin

• It has a positive slope

• It has a negative slope

What is the constant of proportionality in Miguel's savings account example?

• 20

• 25

• 15

• 10

In the table example, what is the constant of proportionality?

• 5

• 4

• 3

• 2

What is the equation derived from the table showing hours and miles?

• y = 2x

• y = 4x

• y = 2.5x

• y = 3x

How much does Melissa earn per hour according to the babysitting example?

• $9

• $8

• $7

• $6

What is the equation representing Melissa's earnings?

• y = 6x

• y = 7x

• y = 8x

• y = 9x

If Melissa babysits for 5 hours, how much will she earn?

• $45

• $40

• $35

• $30

What is the unit rate in the babysitting example?

• The amount earned per day

• The amount earned per hour

• The total hours worked

• The total earnings