Before kerosene can be used as jet fuel, federal regulations require that the pollutants in it be removedby passing the kerosene through clay. Suppose that the clay is in a pipe and that each foot of the pipewill remove 20% of the pollutants that enter it.a. If P0 is the initial number of pollutant and P (n) represents the quantity of pollutants left after nfeet pipe, derive an expression for P (n), and we may assume that P0 = 1.b. Graph the function and use it to explain what will happen the amount of pollutant in kerosene ifwe continue to increase the length of the pipe.c. Given the initial pollutant is P0 = 1, how long does the pipe need to be, to insure that 50% ofthe pollutants have been eliminated?
Before kerosene can be used as jet fuel, federal regulations require that the pollutants in it be removed
by passing the kerosene through clay. Suppose that the clay is in a pipe and that each foot of the pipe
will remove 20% of the pollutants that enter it.
a. If P0 is the initial number of pollutant and P (n) represents the quantity of pollutants left after n
feet pipe, derive an expression for P (n), and we may assume that P0 = 1.
b. Graph the function and use it to explain what will happen the amount of pollutant in kerosene if
we continue to increase the length of the pipe.
c. Given the initial pollutant is P0 = 1, how long does the pipe need to be, to insure that 50% of
the pollutants have been eliminated?
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