Lesson 5.1 Rate of Change/Slope

Find the rate of change and explain what it represents.



• The rate of change is constant and represents a speed of 1120 ft/min.

• The rate of change is constant and represents a speed

  of 560 ft/min.

• The rate of change is constant and represents a speed

  of 280 ft/min.

• The rate of change is not constant.

The table shows a person’s height in feet on a mountain as she repels down for so many minutes. Find the rate of change and explain what it represents.

• The rate of change is constant and represents a height of

  -150 ft/min.

• The rate of change is constant and represents a height of

  -300 ft/min.

• The rate of change is constant and represents a height of

  150 ft/min.

• The rate of change is not constant.

The table shows the cost for buying different amounts of pencils. Find the rate of change and explain what it represents.

• The rate of change is constant and represents a

  cost of -$0.25 per pencil.

• The rate of change is constant and represents a

  cost of $0.25 per pencil.

• The rate of change is constant and represents a cost of $4 per pencil.

• The rate of change is not constant.

Find the slope of the line represented in the graph.

• $\frac{4}{3}$

• $-\frac{4}{3}$

• $\frac{3}{4}$

• $-\frac{3}{4}$

Find the slope of the line represented in the graph.

• 2

• $-2$
  

• $\frac{1}{2}$

• $-\frac{1}{2}$

Find the slope of the line represented in the graph.

• 1

• undefined

• 6

• 0

Without graphing, tell whether the slope of a line that models each linear relationship is POSITIVE, NEGATIVE, ZERO, or UNDEFINED.

A student earns a 98 on a test for answering one question incorrectly and earns a 90 for answering five questions incorrectly.

• Positive

• Negative

• Zero

• Undefined

Without graphing, tell whether the slope of a line that models each linear relationship is POSITIVE, NEGATIVE, ZERO, or UNDEFINED.

The total cost, including shipping, for ordering five uniforms is $66. The total cost, including shipping, for ordering nine uniforms is $114.

• Positive

• Negative

• Zero

• Undefined

Without graphing, tell whether the slope of a line that models each linear relationship is POSITIVE, NEGATIVE, ZERO, or UNDEFINED.

You are standing at a bus stop waiting for the bus to take you to work. After 5 minutes, you are at the bus stop. After 9 minutes you are still at the bus stop.

• Positive

• Negative

• Zero

• Undefined