To find out how much sodium chloride is contained in the bodies of [tex]\(1.8 \times 10^3\)[/tex] people who each weigh 50 kilograms, we start by considering the amount of sodium chloride in one person.
1. Each person contains [tex]\(2 \times 10^2\)[/tex] grams of sodium chloride.
2. We have [tex]\(1.8 \times 10^3\)[/tex] people.
To find the total amount of sodium chloride, we multiply the amount in one person by the number of people:
[tex]\[
\text{Total sodium chloride} = (2 \times 10^2) \times (1.8 \times 10^3) \\
\][/tex]
Now, let's multiply the coefficients (2 and 1.8) and the powers of 10 ([tex]\(10^2\)[/tex] and [tex]\(10^3\)[/tex]) separately:
[tex]\[
2 \times 1.8 = 3.6
\][/tex]
[tex]\[
10^2 \times 10^3 = 10^{2+3} = 10^5
\][/tex]
Combining these results, we get:
[tex]\[
3.6 \times 10^5
\][/tex]
Thus, the total amount of sodium chloride in the bodies of [tex]\(1.8 \times 10^3\)[/tex] people is [tex]\(3.6 \times 10^5\)[/tex] grams.
So, the correct answer is:
A. [tex]\(3.6 \times 10^5\)[/tex] grams
