Solve the Problem $w ( x ) = - 1.17 x + 1,225$

question 88

Multiple Choice

Solve the problem.
-Based on data from a hurricane, the function defined by $w ( x ) = - 1.17 x + 1,225$ gives the wind speed $w ( x )$ (in mph) based on the barometric pressure $x$ (in millibars, mb) . Write a function representing the inverse of $w$ and interpret its meaning in context.

• A) \(w ^ { - 1 } ( x ) = \frac { 1,225 - x } { 1.17 }\)
• B) \(w ^ { - 1 } ( x ) = \frac { x - 1,225 } { 1.17 }\); The inverse gives the barometric pressure \(w ^ { - 1 } ( x )\) for a given wind speed.
• C) \(w ^ { - 1 } ( x ) = \frac { 1,225 - x } { 1.17 }\); The inverse gives the barometric pressure \(w ^ { - 1 } ( x )\) for a given wind speed.
• D) \(w ^ { - 1 } ( x ) = \frac { x - 1,225 } { 1.17 }\); The inverse gives the wind speed \(w ^ { - 1 } ( x )\) for a given barometric pressure.

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