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

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

C. 100 USD [tex]$\left(\frac{0.01007 \text { yen }}{1 \text { USD }}\right)$[/tex]

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



Answer :

To find the correct expression for converting 100 USD to Japanese yen, we need to look at the exchange rate for USD to yen. The given table provides the information:

- The rate for Japanese yen is 0.01007 USD per 1 yen.
- Equivalently, this means 99.30487 yen per 1 USD.

To convert USD to yen, we use the "Units per 1 USD" rate, which is 99.30487 yen per 1 USD. The expression we need should multiply the amount in USD by the number of yen per USD to get the amount in yen.

Step-by-step, the process is as follows:

1. Identify the exchange rate: 99.30487 yen per 1 USD.
2. Multiply the amount in USD (100) by the exchange rate (99.30487 yen per 1 USD) to convert to yen.

The correct expression is:

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

After multiplication, this setup will yield the total amount of Japanese yen equivalent to 100 USD. Hence, the answer is:

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