The 1985 explosion at a nuclear lab sent about 1000 kilograms of a radioactive element into the atmosphere. The function f(x) = 1000(0.5)3 describes the amount, f(x), in kilograms, of a radioactive element remaining in the area x years after 1985. If even 100 kilograms of the radioactive element remains in the atmosphere, the area is considered unsafe for human habitation. Find f(40) and determine if the area wil be safe for human habitation by 2025. f(40) (Type an integer or a decimal rounded to the nearest tenth as needed.) Will the area be safe for human habitation by 2025? O A. Yes, because by 2025, the radioactive element remaining in the area is greater than 100 kilograms. O B. No, because by 2025, the radioactive element remaining in the area is greater than 100 kilograms. OC. Yes, because by 2025, the radioactive element remaining in the area is less than 100 kilograms. OD. No, because by 2025, the radioactive element remaining in the area is less than 100 kilograms.

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Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
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The 1985 explosion at a nuclear lab sent about 1000 kilograms of a radioactive element into the atmosphere. The function f(x) = 1000(0.5)30 describes the amount, f(x), in kilograms, of a radioactive element remaining in the area x years after 1985. If even 100 kilograms of
the radioactive element remains in the atmosphere, the area is considered unsafe for human habitation. Find f(40) and determine if the area will be safe for human habitation by 2025.
f(40) =
(Type an integer or a decimal rounded to the nearest tenth as needed.)
Will the area be safe for human habitation by 2025?
A. Yes, because by 2025, the radioactive element remaining in the area is greater than 100 kilograms.
B. No, because by 2025, the radioactive element remaining in the area is greater than 100 kilograms.
C. Yes, because by 2025, the radioactive element remaining in the area is less than 100 kilograms.
D. No, because by 2025, the radioactive element remaining in the area is less than 100 kilograms.
Transcribed Image Text:The 1985 explosion at a nuclear lab sent about 1000 kilograms of a radioactive element into the atmosphere. The function f(x) = 1000(0.5)30 describes the amount, f(x), in kilograms, of a radioactive element remaining in the area x years after 1985. If even 100 kilograms of the radioactive element remains in the atmosphere, the area is considered unsafe for human habitation. Find f(40) and determine if the area will be safe for human habitation by 2025. f(40) = (Type an integer or a decimal rounded to the nearest tenth as needed.) Will the area be safe for human habitation by 2025? A. Yes, because by 2025, the radioactive element remaining in the area is greater than 100 kilograms. B. No, because by 2025, the radioactive element remaining in the area is greater than 100 kilograms. C. Yes, because by 2025, the radioactive element remaining in the area is less than 100 kilograms. D. No, because by 2025, the radioactive element remaining in the area is less than 100 kilograms.
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