Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer.The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find C'(50).
A. C'(50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles.
B. C'(50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles.
C. C'(50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles.
D. C'(50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles.
Answer: C
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A. 1 + -
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