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

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.