Given the following:
function f(t) = 200(1.005)^30t represents the change in quantity over t months.
We are to find what the constant 1.005 reveal about the rate of change of the quantity.
First we will have to know that if a function has a constant rate of change, then any two points will generate the same rate of change.
Also, when sometging has a constant rate of change, one quatity changers in relation to the other.
So on this scenario,
What the constant 1.005 reveal about the rate of change of the quantity is that:
The function is growing exponentially at a rate of 0.5% every day.