The graph in the figure shows the temperature T = T(v) adjusted for wind chill as a function of the velocity v of the wind when the thermometer reads 30 degrees Fahrenheit. The adjusted temperature 7 shows the temperature that has an equivalent cooling power when there is no wind. T= Effective temperature (°F) 0 -5. 5 10 15 20 25 30 35 40 45 v=Wind speed (mph) (a) At what wind speed is the temperature adjusted for wind chill equal to 0? mph (b) Your answer in part (a) is the solution of an equation involving 7(v). Which equation? T(v) = (c) At what value of v would a small increase in v have the greatest effect on T(v)? In other words, at what wind speed could you expect a small increase in wind speed to cause the greatest change in wind chill? mph Explain your reasoning.

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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter2: Functions
Section2.3: Getting Information From The Graph Of A Function
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The graph in the figure shows the temperature T = T(v) adjusted for wind chill as a function of the velocity v of the wind when the
thermometer reads 30 degrees Fahrenheit. The adjusted temperature 7 shows the temperature that has an equivalent cooling power when
there is no wind.
T= Effective temperature (°F)
0
-5. 5 10 15 20 25 30 35 40 45
v=Wind speed (mph)
(a) At what wind speed is the temperature adjusted for wind chill equal to 0?
mph
(b) Your answer in part (a) is the solution of an equation involving 7(v). Which equation?
T(v) =
(c) At what value of v would a small increase in v have the greatest effect on T(v)? In other words, at what wind speed could you
expect a small increase in wind speed to cause the greatest change in wind chill?
mph
Explain your reasoning.
Transcribed Image Text:The graph in the figure shows the temperature T = T(v) adjusted for wind chill as a function of the velocity v of the wind when the thermometer reads 30 degrees Fahrenheit. The adjusted temperature 7 shows the temperature that has an equivalent cooling power when there is no wind. T= Effective temperature (°F) 0 -5. 5 10 15 20 25 30 35 40 45 v=Wind speed (mph) (a) At what wind speed is the temperature adjusted for wind chill equal to 0? mph (b) Your answer in part (a) is the solution of an equation involving 7(v). Which equation? T(v) = (c) At what value of v would a small increase in v have the greatest effect on T(v)? In other words, at what wind speed could you expect a small increase in wind speed to cause the greatest change in wind chill? mph Explain your reasoning.
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