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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 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]


Sagot :

To convert 100 USD to Japanese yen, we need to use the exchange rate provided in the table for converting USD to yen. According to the table, 1 USD is equal to 99.30487 Japanese yen.

Let's break down the steps for the conversion:

1. Identify the Conversion Rate:
From the table, we see that 1 USD is equal to 99.30487 Japanese yen.

2. Formulate the Conversion Expression:
We need to multiply the amount in USD by the conversion rate from USD to yen. Therefore, the correct expression for converting 100 USD to yen would be:
[tex]\[ 100 \text{ USD} \times \left(\frac{99.30487 \text{ yen}}{1 \text{ USD}}\right) \][/tex]

3. Evaluate the Expression:
When multiplying, we see that the units of USD cancel out, leaving us with the amount in yen.

4. Double-Check the Expression for Accuracy:
We ensure that we have the correct conversion factor and that the units cancel correctly:
[tex]\[ 100 \text{ USD} \times \left(\frac{99.30487 \text{ yen}}{1 \text{ USD}}\right) = 9930.487 \text{ yen} \][/tex]

Based on this step-by-step process, the correct expression to use for converting 100 USD to Japanese yen is:
[tex]\[ 100 \text{ USD} \times \left(\frac{99.30487 \text{ yen}}{1 \text{ USD}}\right) \][/tex]

Thus, the correct option from the choices given is:
[tex]\[ 100 \text{ USD} \times \left(\frac{99.30487 \text{ yen}}{1 \text{ USD}}\right) \][/tex]
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