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\begin{tabular}{|c|c|c|}
\hline
Currency & USD/1 Unit & Units/1 USD \\
\hline
\begin{tabular}{c}
Canadian \\
dollar
\end{tabular} & 0.97071 & 1.03069 \\
\hline
Euro & 1.35261 & 0.73935 \\
\hline
\begin{tabular}{c}
Japanese \\
yen
\end{tabular} & 0.01007 & 99.30487 \\
\hline
\begin{tabular}{c}
Indian \\
rupee
\end{tabular} & 0.01594 & 62.72053 \\
\hline
\end{tabular}

Which expression can be used to convert 100 USD to Japanese yen?

A. \(100 \, \text{USD} \left( \frac{99.30487 \, \text{yen}}{1 \, \text{USD}} \right)\)

B. \(100 \, \text{USD} \left( \frac{1 \, \text{USD}}{99.30487 \, \text{yen}} \right)\)

C. \(100 \, \text{USD} \left( \frac{0.01007 \, \text{yen}}{1 \, \text{USD}} \right)\)

D. [tex]\(100 \, \text{USD} \left( \frac{99.30487 \, \text{USD}}{1 \, \text{yen}} \right)\)[/tex]



Answer :

GinnyAnswer
To convert 100 USD to Japanese yen using the appropriate conversion rate, you need to determine which ratio correctly provides the value in yen for 1 USD.

Given the conversion rates in the table:

- For Japanese yen, the relevant conversion rate is 1 USD = 99.30487 yen.

With this conversion rate, you can set up the calculation for converting USD to yen. To convert 100 USD to yen, you must multiply 100 USD by the conversion rate that represents how many yen are equivalent to 1 USD:

[tex]\[ 100 \text{ USD} \times \left(\frac{99.30487 \text{ yen}}{1 \text{ USD}}\right) \][/tex]

Breaking down the steps:

1. Start with the amount in USD, which is 100 USD.
2. Identify the correct conversion factor that tells you how many yen you get per 1 USD. According to the table, 1 USD = 99.30487 yen.
3. Multiply the amount in USD by this factor:

[tex]\[ 100 \text{ USD} \times 99.30487 \text{ yen per USD} \][/tex]

Putting it all together, the expression to convert 100 USD to Japanese yen is:

[tex]\[ 100 \text{ USD} \times \left(\frac{99.30487 \text{ yen}}{1 \text{ USD}}\right) \][/tex]

From the given options, the correct expression is:

[tex]\[ 100 \text{ USD} \left(\frac{99.30487 \text{ yen}}{1 \text{ USD}}\right) \][/tex]

Therefore, the right answer is:

1. [tex]\(100 \text{ USD} \left(\frac{99.30487 \text{ yen}}{1 \text{ USD}}\right)\)[/tex]

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