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]
