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X y 10 20 30 40 50 x y 01 02 03 04 05

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Review of definition: A function is a relation for which there is exactly one value of the dependent variable for each value of the independent variable.

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The position of a speedometer needle depends on how fast the car is going.

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The distance you travel depends on how long you have traveling (assume an average speed)

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How badly your thumb hurts is a function of how hard you hit it with a hammer.

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The number of chirps a snowy tree cricket is a function of temperature. (count the number of chirps in 13 seconds and add 40, this is the temp in Fahrenheit) http://youtu.be/prafMmD_mx8 http://youtu.be/prafMmD_mx8 (mute at 2:00 – 2:05)

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Your age and your height are related to one another.

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Given (4,8) and (-2, 5) Find the equation in point-slope form and also in slope-intercept form, then graph the equation

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Y = ½ x + 6

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Given (-1,4) and (5, -14) Find the linear equation in point-slope form and slope intercept form and then graph the equation

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Y=-3x+1

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As you drive home from the football game, the number of miles you are away from home depends on the number of minutes you have been driving. (sketch a rough linear function of this relationship) Create variables for each element in the function. Label your axis.

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Assume that the distance varies linearly with time. Suppose you are 11 miles away from home when you have been driving for 10 minutes, and 8 miles from home when you have been driving for 15 minutes. Find the equation to model this situation.

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Solution: d = -3/5(t) + 17 a. What is your distance from home after 20 minutes? After 30 minutes? b. When are you 7 miles from home? c. What does y axis intercept represent? d. What does the x axis intercept represent? e. What are the units of slope? What does this represent?

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Solution: d = -3/5(t) + 17 a. What is your distance from home after 20 minutes? 5 m After 30 minutes? -1 km b. When are you 7 miles from home? 50/3 or 16 2/3 min c. What does y axis intercept represent? Time = 0 distance = 17 miles from home is the stadium d. What does the x axis intercept represent? t = 28 1/3 (time you reach home) e. What are the units of slope? What does this represent? Miles/min (speed of travel or average velocity

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