SOLUTION: the number of people, P, at a playground after x min is given by P = x^3 + 4x + 20. The instantaneous rate of change of the number of people at the playground after 1 min is approx

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Question 1161507: the number of people, P, at a playground after x min is given by P = x^3 + 4x + 20. The instantaneous rate of change of the number of people at the playground after 1 min is approximately
a) 4 people/min
b) 5 people/min
c) 6 people/min
d) 7 people/min

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Instantaneous rate of change after 1 minute = derivative of function evaluated at t=1.

P+=+x%5E3%2B4x%2B20
dP%2Fdx+=+3x%5E2%2B4

3%281%5E2%29%2B4+=+3%2B4+=+7