I need to know how to estimate the instantaneous rate of population growth of a month. In the previous question i was asked to find the average rare of population growth which i believe would be to just find the slope. ( Is that correct?
In order to find the instantaneous rate of population growth of a month I believe you have to find the slope of the tangent line. so do I just find a tangent line and estimate to coordinates and use the slope fomula?
When i did this i got a fraction of 70/8. Can ths slope be a fracton when it comes to population growth?
Could you provide the exact wording of the problem you're working on? What is the function?
A small lake is stocked with trout in the early sprin of 2005. The population of trout in the lake (where t is measured in months) is shown below. (it shows a graph)
(a) what is the average rate of population growth bewtween month 10 and month 20?
-Here i would find the slope
(b) Estimate the instantaneous rate of population growth month 22.
-Here i am not sure what to do exactly
It's not easy to help without the graph. But I'll give you a brief tip.
Find two points, one on each side, of the point at t=22 months. Chose the points so that they are very close to the point at t=22 months. Draw a line through these points. The equation of the line through the points will be the approximation you're looking for.