A temperature sensor converts voltage (in volts) to temperature (in °C) according to…
MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions
Problem
A temperature sensor converts voltage V (in volts) to temperature T (in °C) according to the model T=40V+9 for V>0. When the sensor indicates T=9∘C, what is the instantaneous rate of change of voltage with respect to temperature, dTdV, in volts per degree Celsius?
(a) 920
(b) 209
(c) 409
(d) 41