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Chapter 3: Linear Functions

Chapter 3: Linear Functions. Section 3-5: Linear Functions as Mathematical Models. Objective. Given a situation in which two real-world variables are related by a straight line graph, be able to: Sketch a graph. Find a particular equation.

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Chapter 3: Linear Functions

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  1. Chapter 3:Linear Functions Section 3-5: Linear Functions as Mathematical Models

  2. Objective • Given a situation in which two real-world variables are related by a straight line graph, be able to: • Sketch a graph. • Find a particular equation. • Use the equation to predict values of either variable. • Figure out what the slope and intercepts tell you about the real world.

  3. Example (p. 98 #2) • “Reading Problem” Phoebe Small still has 35 pages of history to be read after she has been reading for 10 minutes, and 5 pages left after she has been reading for 50 minutes. Assume that the number of pages left to read varies linearly with the number of minutes she has been reading. Write the particular equation expressing pages in terms of minutes, and use it to predict the time when he has finished reading. Sketch the graph.

  4. Example (p. 99 #4) • “Reaction Time Problem” When you a pricked with a pin, there is a short time delay before you say “ouch!” This reaction time varies linearly with the distance between your brain and the place you are pricked. Dr. Hollars pricks Leslie Morley’s finger and toe, and measures reaction times of 15.2 and 22.9 milliseconds, respectively. Leslie’s finger is 100 cm from her brain, and her toe is 170 cm from her brain. • Write the particular equation expressing time delay in terms of distance. • How long would it take Leslie to say “Ouch1” if pricked in the neck, 10 cm from the brain? • What does the time-intercept equal, and what does it represent in the real world? • Sketch a graph of this function.

  5. p. 98 #1, 3, 5, (day 1) #7, 9 (day 2)

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