The number of toy kangaroos, K, in a toy box after 't' days is given by #K=t^2+20t#. Estimate the rate at which the number of kangaroos is changing after 3 days?
#K=t^2+20t#
1 Answer
Apr 13, 2018
After 3 days, the number of kangaroos is increasing by 26 kangaroos per day.
Explanation:
The rate of change of a function is the derivative of that function.
First take the derivative of
The derivative of
So the derivative of
The derivative of
You should end up with
The question wants to know the rate of change after 3 days, so just plug in 3:
So there you have it- after 3 days, the number of kangaroos is increasing by 26 kangaroos per day.