The resistance of a thermistor, a device used to monitor the temperature inside an engine, changes with temperature. The resistance of the thermistor is given by R(t) = t3 + 5, where R is measured in ohms and t is the temperature in °C. What is the average rate of change of resistance per degree of temperature change between 0°C and 2°C?
A.
4 ohms/°C
B.
8.5 ohms/°C
C.
11 ohms/°C
D.
17 ohms/°C
Answer: In photo below
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The resistance function R(t) at a temperature, t, R(t) = t³ + 5, between the temperatures of t = 0 °C and t = 2 °C, has an average rate of change of resistance per each degree rise in temperature of 4 Ohms/°C.What is the average rate of change of a function?The average rate of change of a function over an interval is given by the the ratio of the change in the output of the function over the interval to the corresponding change in the input of the function in the interval.The given function is R(t) = t³ + 5Where;R(t) = The resistance of the thermistort = The temperature inside the engineAt t = 0, we have;R(0) = 0³ + 5 = 5At t = 2, R(2) = 2³ + 5 = 13The average rate of change of the resistance per degree of temperature change is therefore;[tex]Ave = \dfrac{13\, Ohms - 5\, Ohms}{2\, ^{\circ}C - 0\, ^{\circ}C} = 4 \, Ohms/^{\circ}C[/tex]The rate of change of resistance between the temperatures of 2 °C and 0 °C is 4 Ohms/°CLearn more about finding the average rate of change of a function here:https://brainly.com/question/2170564#SPJ1