Rate of Change

What is Average Rate of Change?

• The change of a variable independent to another.

• The derivative of an equation

• A change over an interval

• A type of food

Which of the following are ways to find the rate of change?

• change in y over change in x
• rise over run
• subtract y coordinates over subtract x coordinates
• all of the above

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

f(x) = x² + 2x - 3

What is the average rate of change of f(x) on the interval [-3, -2].

• -3

• -4

• -2

• -3/2

What is the instantaneous rate of change of s(t)=5t²+4t-3 at t = 0?

• 4

• -3

• 61

• 16

What is the definition of rate of change?

• change of x / change of y
• change of y / change of x

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is Instantaneous Rate of Change?

• The rate of change at a specific point.

• The slope at point of a graph.

Find the slope of the line that passes through (-9, -6) and (-9, -10)

• 0

• -2

• -3

• Undefined

• Not enough information

• -1

• 2

• -2

• -5

Level 2: How fast did the tree grow from year 4 to year 8?

• 2 ft/yr
• 2 m/s
• 1/2 ft/yr
• -1/2 ft/yr

Find the slope of the line that passes through

(10, 1) and (5, 2)

• 1/5

• -1/5

• Undefined

• Not enough information