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Please explain which answer is correct and why from the attached picture. Thank you!

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Calculus Question 2.png

Let C(T) be the cost to heat a particular home, in dollars per day, when the outside temperature is T degrees Fahrenheit. Suppose it costs $22 to heat a home for one day when the outside temperature 20 degrees Fahrenheit.
Choose the mathematical expression that matches this statement. Is the derivative of 0 positive, negative or zero at this temperature? 0 C(22) : 20, C’(20) < 0.
0 C(20) = 22,C’(20) < 0.
0 C(20) = 22, C’(20) = 0. o C’(20) : 22. C' (20) > 0. 0 C(22) = —20, C' (20) > 0.

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The correct option is: C (... View the full answer

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