Based on data from Hurricane Katrina, the function defined by w(x) = −1.17x + 1220 gives the wind speed w(x) (in mph) based on the barometric pressure x(in millibars, mb). a. Approximate the wind speed for a hurricane with a barometric pressure of 1000 mb.  b. Write a function representing the inverse of w and interpret its meaning in context.  c. Approximate the barometric pressure for a hurricane with wind speed 100 mph. Round to the nearest mb.

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