Calculating the Constant Rate of Change

The video tutorial explains how to calculate the rate of change of a linear function using four representations: verbal, algebraic, numeric, and graphical. It begins with an example of a pool being emptied and highlights common mistakes in calculating slope. The tutorial then explores each representation in detail, providing examples and practice problems to reinforce understanding.

What does the Greek letter delta represent in the context of rate of change?

• The division of x and y values

• The product of y-values

• The change in values

• The sum of x-values

What is a common mistake students make when calculating slope?

• Adding y-values instead of subtracting

• Using the wrong order of subtraction

• Dividing by zero

• Multiplying x-values

In the pool emptying scenario, what is the constant rate of change?

• -1400 gallons per hour

• 350 gallons per hour

• -350 gallons per hour

• 1400 gallons per hour

Which of the following is NOT one of the four representations of a function?

• Symbolic

• Physical

• Numeric

• Verbal

In the bicycle scenario, what is the constant rate of change?

• -$60 per hour

• -$6 per hour

• $6 per hour

• $60 per hour

What is the algebraic representation of the bicycle scenario?

• y = -6x + 60

• y = 60x - 6

• y = 6x - 60

• y = 60x + 6

How much does William's earnings increase after 5 hours of work?

• $60

• $90

• $120

• $30