Answer :
To determine the correct expression to convert 100 USD to Japanese yen, we start by analyzing the provided exchange rate table:
[tex]\[ \begin{tabular}{|c|c|c|} \hline Currency & USD/1 Unit & Units/1 USD \\ \hline \begin{tabular}{c} Canadian \\ dollar \end{tabular} & 0.97071 & 1.03069 \\ \hline Euro & 1.35261 & 0.73935 \\ \hline \begin{tabular}{c} Japanese \\ yen \end{tabular} & 0.01007 & 99.30487 \\ \hline \begin{tabular}{c} Indian \\ rupee \end{tabular} & 0.01594 & 62.72053 \\ \hline \end{tabular} \][/tex]
The table provides the exchange rate in two forms for each currency:
1. "USD/1 Unit" - the amount of USD equivalent to 1 unit of the foreign currency.
2. "Units/1 USD" - the amount of foreign currency equivalent to 1 USD.
For converting USD to Japanese yen, we need the "Units/1 USD" rate for Japanese yen, which is given as 99.30487. This means that 1 USD is equivalent to 99.30487 Japanese yen.
To convert 100 USD to Japanese yen, we use the conversion rate of 99.30487 yen per USD:
[tex]\[ 100 \, \text{USD} \times \left(\frac{99.30487 \, \text{Yen}}{1 \, \text{USD}}\right) \][/tex]
The [tex]\( \text{USD} \)[/tex] units cancel out, leaving us with the amount in Japanese yen. Therefore, 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]
So, the correct expression is:
[tex]\[ 100 \, \text{USD} \, \left(\frac{99.30487 \, \text{Yen}}{1 \, \text{USD}}\right) \][/tex]
[tex]\[ \begin{tabular}{|c|c|c|} \hline Currency & USD/1 Unit & Units/1 USD \\ \hline \begin{tabular}{c} Canadian \\ dollar \end{tabular} & 0.97071 & 1.03069 \\ \hline Euro & 1.35261 & 0.73935 \\ \hline \begin{tabular}{c} Japanese \\ yen \end{tabular} & 0.01007 & 99.30487 \\ \hline \begin{tabular}{c} Indian \\ rupee \end{tabular} & 0.01594 & 62.72053 \\ \hline \end{tabular} \][/tex]
The table provides the exchange rate in two forms for each currency:
1. "USD/1 Unit" - the amount of USD equivalent to 1 unit of the foreign currency.
2. "Units/1 USD" - the amount of foreign currency equivalent to 1 USD.
For converting USD to Japanese yen, we need the "Units/1 USD" rate for Japanese yen, which is given as 99.30487. This means that 1 USD is equivalent to 99.30487 Japanese yen.
To convert 100 USD to Japanese yen, we use the conversion rate of 99.30487 yen per USD:
[tex]\[ 100 \, \text{USD} \times \left(\frac{99.30487 \, \text{Yen}}{1 \, \text{USD}}\right) \][/tex]
The [tex]\( \text{USD} \)[/tex] units cancel out, leaving us with the amount in Japanese yen. Therefore, 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]
So, the correct expression is:
[tex]\[ 100 \, \text{USD} \, \left(\frac{99.30487 \, \text{Yen}}{1 \, \text{USD}}\right) \][/tex]
