Rate of Change

The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?

The graph shows the height of a tree every year. Which of the following is true about the rate of change of the tree's growth?

• The tree grew about 1 foot per year.

• The tree grew about 2 feet per year.

• The tree grew about 4 feet per year.

• The tree grew about 20 feet per year.

The graph of a linear function is shown in the coordinate plane. What is the rate of change in y per unit change in x for this linear function?

• -5

• -2.5

• -2

• -0.4

The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?

• 70

• 7.5

• -0.5

• -2.5

From the table, what is the rate of change we see happening? (Select all that apply)

• Increase of $75 per adult

• Increase of $375 per 5 adults

• Increase of $150 per 3 adults

• Increase of $2 per 150 adults

Shawn recently went skydiving for his birthday. The relationship between the time in seconds, x, and his elevation in feet, y, is shown in the table below. Find the rate of change and explain its meaning.

• 12,500; Shawn ascends at a rate of 12,500 feet per second.

• -175; Shawn descends at a rate of 175 feet per second.

• -175; Shawn's initial height is -175 feet.

• 12,500; Shawn's initial height is 12,500 feet.

Find the rate of change

• 1

• 2

• 11

• Not a constant slope/Non-Linear

Find the rate of change.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

Who has the greater rate of change?

• They have the same rate of change.