Question

The cost C, in dollars, to remove p percent of a certain pollutant from a pond is estimated by using the formula C=100,000p/100-p. According to the estimate, how much more would it cost to remove 90% of the pollutant from the pond than it would cost to remove 80% of the pollutant? (A) $500,000 (B) $100,000 (C) $50,000 (D) $10,000 (E) $5,000

Answer 1

(A) $500,000

Explanation:

Given formula for finding the cost ( in dollars ) to remove p percent of a certain pollutant,

`C=(100000p)/(100-P)`

If P = 90,

`C=(100000* 90)/(100-90)=(9000000)/(10)=900000`

If P = 80,

`C=(100000* 80)/(100-80)=(8000000)/(20)=400000`

∵ 900000 - 400000 = 500000,

Hence, it will cost $500,000 more to remove 90% of the pollutant from the pond than it would cost to remove 80% of the pollutant,

Option '(A)' is correct.