Question

From experimental data the cost for removing particulate pollution in California from a selected smokestack from a coal fired plant was: 8000p C(p) = 100-P where C is the cost in dollars and p percent of particulate pollution a) Find the domain of this function as it relate to the problem, in interval notation. b) Find the total cost of removing 77% of the particulate pollution from the selected smokestack from a coal fired plant. $ Submit Question Question 17 0/1 pt 398 Details The function D(p) gives the number of items that will be demanded when the price is p. The production cost, C(a) is the cost of producing x items. To determine the cost of production when the price is $6, you would: O Evaluate C(D(6)) O Evaluate D(C(6)) O Solve C(D(p)) = 6 O Solve D(C(x)) = 6 Submit Question 0/1 pt 398

Answer 1

Explanation:

a) The domain of the function is the range of values for which the function is defined. Here, the function C(p) represents the cost of removing particulate pollution for a coal fired plant, and p represents the percentage of particulate pollution being removed. Since the percentage of pollution cannot be negative or greater than 100%, the domain of the function is 0 ≤ p ≤ 100. Therefore, the domain of the function as it relates to the problem is [0, 100].

b) To find the total cost of removing 77% of the particulate pollution from the smokestack, we need to substitute p = 77 in the given cost function C(p) and evaluate it.

C(p) = 100 - p (given)

C(77) = 100 - 77 (substitute p = 77)

C(77) = 23

Therefore, the total cost of removing 77% of the particulate pollution from the smokestack is $23.

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