The number of toy kangaroos, K, in a toy box after t days is given by K=t2+20t. Estimate the rate at which the number of kangaroos is changing after 3 days? K=t2+20t

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The number of toy kangaroos, K, in a toy box after t days is given by K=t2+20t. Estimate the rate at which the number of kangaroos is changing after 3 days?  K=t2+20t

demiegiq1p · Accepted Answer

The rate of change of a function is the derivative of that function.First take the derivative of K=t2+20tThe derivative of tnis ntn−1 by the power rule.So the derivative of t2 is 2t.The derivative of at is just a, so the derivative of 20t is just 20.You should end up with K′=2t+20 when you add them together.The question wants to know the rate of change after 3 days, so just plug in 3:K′=2(3)+20K′=26So there you have it- after 3 days, the number of kangaroos is increasing by 26 kangaroos per day.Answer link

The number of toy kangaroos, K, in a toy box

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