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Which option below correctly compares the amount of radiation exposure from an annual dental X-ray and the radiation exposure from backgroundradiation during the same year?A. The dose from the dental X-ray is 8000 times smaller than theaverage annual dose of background radiation.B. The dose from the dental X-ray is 8000 times larger than theaverage annual dose of background radiation.C. The dose from the dental X-ray is 20 times larger than the averageannual dose of background radiation.D. The dose from the dental X-ray is 20 times smaller than theaverage annual dose of background radiation.

Which option below correctly compares the amount of radiation exposure from an annual dental Xray and the radiation exposure from backgroundradiation during the class=

Respuesta :

Answer:

Choice A

Explanation:

Let us go through each of the answer choices to see which one is correct.

A. The dose from the dental X-ray is 8000 times smaller than the average annual dose of background radiation.

This means

average annual dose of background radiation. = 8000* The dose from the dental X-ray

Now,

Average annual dose of background radiation = 4* 10^-4

and

The dose from the dental X-ray = 5* 10^-5

Therefore, we have

[tex]4\times10^{-4}=8000\times5\cdot10^{-8}[/tex]

Is the above equation correct? We evaluate the right-hand side and see if it equals the left-hand side.

Now,

[tex]8000\times5\cdot10^{-8}=4\times10^{-4}[/tex]

therefore,

[tex]4\times10^{-4}=4\times10^{-4}[/tex]

Hence, choice A is the correct answer.

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