Select the correct answer.

The body of a person who weighs 50 kilograms contains around [tex]\( 2 \times 10^2 \)[/tex] grams of sodium chloride. How much sodium chloride is contained in the bodies of [tex]\( 1.8 \times 10^3 \)[/tex] people who each weigh 50 kilograms? Represent the answer in scientific notation.

A. [tex]\( 3.6 \times 10^5 \)[/tex] grams
B. [tex]\( 1.1 \times 10^1 \)[/tex] grams
C. [tex]\( 36 \times 10^5 \)[/tex] grams
D. [tex]\( 11 \times 10^1 \)[/tex] grams



Answer :

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