Focus Problem Template If the...(pick an animal from the table) can run at... (state top speed and distance), then it can maintain its top speed for... (state time), as shown in the following calculation: In this time, a person running at 10 mph could run... (state time), as shown by this calculation: If the animal can run...(state distance) and the person can run... (state distance) in this time, then the person needs to be at least... (calculate safe distance) from the animal to be safe. Repeating this process for the remaining animals, we get the head starts shown in the following table. TOP SPEED DISTANCE AT HEAD START TIME AT TOP ANIMAL (MPH) NEEDED TOP SPEED SPEED 1 mile Polar bear 20 Black bear 25 4.9 2 miles Lion 48 meters 30 Moose 35 400 meters Rhinoceros 35 100 meters From the table, we can see that you would need the greatest head start if you were running from... (state animal). The distance run by... (state chosen animal from table) can be modeled by the equation... (state equation and define variables). The person's distance run can be modeled by the equation. . . (state equation and define variables). The slopes of the lines represent... (explain slopes). The y-intercepts... (explain y-intercepts). From the graph of these two functions shown below, we can see that the lines intersect at .. (state intersection and explain its significance). (show graph) A...(choose another animal not given in the table) can run at a top speed of...(state top speed and distance). Thus you would need a head start of...(calculate and state the head start). Copyright 2017 Pearson Education, Inc.
Focus Problem Template If the...(pick an animal from the table) can run at... (state top speed and distance), then it can maintain its top speed for... (state time), as shown in the following calculation: In this time, a person running at 10 mph could run... (state time), as shown by this calculation: If the animal can run...(state distance) and the person can run... (state distance) in this time, then the person needs to be at least... (calculate safe distance) from the animal to be safe. Repeating this process for the remaining animals, we get the head starts shown in the following table. TOP SPEED DISTANCE AT HEAD START TIME AT TOP ANIMAL (MPH) NEEDED TOP SPEED SPEED 1 mile Polar bear 20 Black bear 25 4.9 2 miles Lion 48 meters 30 Moose 35 400 meters Rhinoceros 35 100 meters From the table, we can see that you would need the greatest head start if you were running from... (state animal). The distance run by... (state chosen animal from table) can be modeled by the equation... (state equation and define variables). The person's distance run can be modeled by the equation. . . (state equation and define variables). The slopes of the lines represent... (explain slopes). The y-intercepts... (explain y-intercepts). From the graph of these two functions shown below, we can see that the lines intersect at .. (state intersection and explain its significance). (show graph) A...(choose another animal not given in the table) can run at a top speed of...(state top speed and distance). Thus you would need a head start of...(calculate and state the head start). Copyright 2017 Pearson Education, Inc.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 58E
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Time at top speed/head start needed for the lion? With the equation.
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