Precalculus Rate of Change

Identify the slope of the following graph.

• Positive

• Negative

• Zero

• Undefined

Identify where the function is decreasing.

• x < -4 , x > 1

• -4 < x < 1

• -6 < x < 7.5

• All Real Numbers

What is the range?

• None of the answer choices

During a snowstorm, John measured the total snowfall accumulated at the end of each hour.  He recorded his results in the table below.  What is the approximate average rate of change of the snowfall between 1 p.m. and 6 p.m.?

• 0.7 inch/hour

• 0.9 inch/hour

• 1.1 inch/hour

• 1.4 inch/hour

What is the average rate of change between hour 15 and hour 30?

• $93.75/hr

• $6.25/hr

• $43.75/hr

• $6.75/hr

The equation c = 0.20t + 3.50 shows the relationship between the charge c in dollars for renting a kayak for t minutes.  What is the meaning of the slope of the equation?

• For $1.00, you can rent a kayak for 20 minutes.

• It costs $0.20 per minute to rent the kayak.

• You have to pay $0.20 up front before using the kayak at all.

• Every .2 minutes, you have to pay $1.00.

Find the rate of change.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

At what rate did the rain fall?

• 2 cm per hour

• ¹/₄ cm per hour

• ¹/₂ cm per hour

• 4 cm per hour

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

Which rate of change represents the graph shown?

• -15 feet per minute

• 15 feet per minute

• -200 feet per minute

• 200 feet per minute