Solve the Problem $\mathrm{E}=1000(100-\mathrm{T})+580(100-\mathrm{T})^{2}$ Is Used to Approximate the Elevation (In Meters) Above Sea

Multiple Choice

Solve the problem.
-The formula $\mathrm{E}=1000(100-\mathrm{T}) +580(100-\mathrm{T}) ^{2}$ is used to approximate the elevation (in meters) above sea level at which water boils at a temperature of $\mathrm{T}$ (in degrees Celsius) . Find the rate of change of $\mathrm{E}$ with respect to $\mathrm{T}$ for a temperature of $55^{\circ} \mathrm{C}$ .

A) $-53,200 \mathrm{~m} /{ }^{\circ} \mathrm{C}$
B) $53,200 \mathrm{~m} /{ }^{\circ} \mathrm{C}$
C) $-52,200 \mathrm{~m} /{ }^{\circ} \mathrm{C}$
D) $-85,100 \mathrm{~m} /{ }^{\circ} \mathrm{C}$