## Related questions with answers

The windchill index (revised in 2001) for a temperature of 32 degrees Fahrenheit and wind speed x miles per hour is $W(x)=55.628-22.07 x^{0.16}$. a. Graph the windchill index on a graphing calculator using the window [0, 50] by [0, 40]. Then find the windchill index for wind speeds of x = 15 and x = 30 mph. b. Notice from your graph that the windchill index has first derivative negative and second derivative positive. What does this mean about how successive 1-mph increases in wind speed affect the windchill index? c. Verify your answer to part (b) by defining y2 to be the derivative of $y_1$ (using NDERIV), evaluating it at x = 15 and x = 30, and interpreting your answers.

Solution

Verified### Given Data

The windchill index (revised in 2001) for a temperature of 32 degrees Fahrenheit and wind speed x miles per hour is

$W(x)=55.628-22.07 x^{0.16}$

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