Suppose the cost, C, in dollors, of eliminating \"p\" percent of the pollution f

Question

Suppose the cost, C, in dollors, of eliminating "p" percent of the pollution from the emissions factory is given by C(p)-4100p/100-p (that is a fraction) (hint to remove 80% p would be 80 not .8 A. what type of function is this? B.Find C(0) and interpret its meaning C. What is the cost of removing 80% of pollution? D. what is the domain of the function? E. If you had a budget of $20,000 to clean emissions what percent of pollution could you eliminate? Solve equation numerically in calculator Copy lines from table to support answer and round to nearest whole percent.

Explanation / Answer

C(p) = 4100 p / 100 - p

a) this is a rational function

b) C(0) = 4100 (0) / 100 - 0

C(0) = 0

this means cost of eliminating 0% of pollution from emmission factory is $ 0

c) cost of removing 80 % polution

plug p = 80

C(p) = 4100 p / 100 - p

= 4100 (80 ) / 100 - 80

$ 16400

d) domain of the function is all values of p except p =100

at p = 100 function will be undefined

e) plugging C(p) = 20,000

20,000 = 4100 p / 100 - p

20,000 ( 100 - p ) = 4100 p

p = 83.3

so, for budget of 20,000

83 % pollution could be eliminated

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