Today's Class we started out with the usual Mental Math (MM). From here the class proceeded into learning more about exponential function growth and decay. The following on how to preform and solve these problems is shown in the examples below:

Depth of water and its light

The intensity of light visible underneath the surface of a pond decreases by 5% for each meter of depth below the surface. Write as exponential function which models the intensity of light at any depth, d, below the surface. Let Io represent surface and I(d) represent intensity at d meters.....

The above shows the four different possible answers for the following question, these are obtained by reading the question and putting what is given into formula. The graph shows that I(d) or Y is the light that is revealed from the water, this can go no higher than 100% light, because 100% is just your max. The d being the distance is what mover along the horizontal region. From whats give we know that for every meter we go down we lose 5% or so of light. Its easy enough from there, just look and do the math!

Animal species population

Just graph and solve!

• If you don't understand any of the following shown then leave your questions in the comment box and i will try to the best of my ability to help!