Asked by John
No idea where to start
The cost in dollars of producing x units of a particular camera is C(x) = x2 - 10000. (10 points)
Find the average rate of change of C with respect to x when the production level is changed from x = 100 to x = 101. Include units in your answer.
Find the instantaneous rate of change of C with respect to x when x = 100. Include units in your answer.
The cost in dollars of producing x units of a particular camera is C(x) = x2 - 10000. (10 points)
Find the average rate of change of C with respect to x when the production level is changed from x = 100 to x = 101. Include units in your answer.
Find the instantaneous rate of change of C with respect to x when x = 100. Include units in your answer.
Answers
Answered by
Reiny
Just like taking slope
C(101) = 101^2 - 10000 = 201
C(100) = 100^2 - 10000 = 0
average rate of change = (201-0)/(101-100) = 201
instantaneous rate of change
= 2x
at x = 100
rate = 200
C(101) = 101^2 - 10000 = 201
C(100) = 100^2 - 10000 = 0
average rate of change = (201-0)/(101-100) = 201
instantaneous rate of change
= 2x
at x = 100
rate = 200
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