I have a sample problem which I am using as a guide, the full question is an env

Question

I have a sample problem which I am using as a guide, the full question is an environmental group estimates that the amount of pollution in a pond will decrease by 10 % each month. To determine the concentratron C, of pollutants (in parts per million) after (m) months, the group uses the function C(m) = 23(0.90)^m.
A.) to the nearest tenth, what will will be the pollutants in the pond in 5 years?
B.) what was the initial concentration of the pollutants in the pond ?

I know that I have to convert the years to months by multiplying 12 and 5 to equal 60 and that is where I get confused and I know the answer to B is 23. Im confused after the first thing of establishing the concentraton in the pond in 5 years. Can you direct me where to go from there. I have done it right on the sample questions but they are for only 1 year. the 5 years is what is throwing me.

Explanation / Answer

In part A) it asks us what the concentration of pollutants will be after 5 years. Since there are 12 months in a year we can make the simple conversion from years to months, which gets us 60 months. We can now plug this number into our given function. C(60)=23(0.9)(60)
C(60)=0.04 ppm
**Unfortunately we can't round this number to the nearest tenth because it is too small. I'm not sure why the question how ask us this but I'm sure this answer is done properly.** In part B) we now are asked to find the initial concentration of pollutants in the pond. The initial point is the point at which the environmental group started their research, which would mean that the number of months the research group has observed the pond is 0. The ability to understand the math language is the key to answering the problem. We can now put 0 into aour equation for the number of months.
C(0)=23(0.9)(0)
C(0)=23 ppm

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