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In Mathematics / College | 2025-07-07

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

| Currency | USD/1 Unit | Units/1 USD |
| :-------------- | :--------- | :---------- |
| Canadian dollar | 0.97071 | 1.03017 |
| Euro | 1.35261 | 0.73931 |
| Japanese yen | 0.01007 | 99.30487 |
| Indian rupee | 0.01594 | 62.73526 |

A. 100 USD [tex]$\left(\frac{99.30487 \text { yen }}{1 \text { USD }}\right)$[/tex]
B. 100 USD [tex]$\left(\frac{1 \text { USD }}{99.30487 \text { ven }}\right)$[/tex]
C. 100 USD [tex]$\left(\frac{0.01007 \text { yen }}{1 \text { USD }}\right)$[/tex]
D. 100 USD [tex]$\left(\frac{99.30487 \text { USD }}{1 \text { ven }}\right)$[/tex]

Asked by amandap61618

Answer (2)

To convert USD to Japanese yen, multiply the amount in USD by the exchange rate.
The exchange rate is 99.30487 yen per 1 USD.
The expression to convert 100 USD to Japanese yen is 100 USD × 1 USD 99.30487 yen ​ .
Therefore, the correct expression is 100 USD ( 1 USD 99.30487 yen ​ ) ​ .

Explanation

Understanding the Problem We are given a table of currency exchange rates and asked to find the correct expression to convert 100 USD to Japanese yen. The table tells us that 1 USD is equivalent to 99.30487 Japanese yen.

Setting up the Conversion To convert 100 USD to Japanese yen, we need to multiply 100 USD by the exchange rate. The correct conversion factor should have USD in the denominator so that the USD units cancel out, leaving us with Japanese yen. The exchange rate is given as 99.30487 yen per 1 USD, which can be written as 1 USD 99.30487 yen ​ .

Performing the Conversion Therefore, the expression to convert 100 USD to Japanese yen is: 100 USD × 1 USD 99.30487 yen ​ .

Final Answer The expression that can be used to convert 100 USD to Japanese yen is: 100 USD ( 1 USD 99.30487 yen ​ ) .


Examples
Currency exchange is a common application of dimensional analysis. For example, if you are traveling to Japan and want to know how many yen you will receive for 100 USD, you can use the exchange rate to convert the currency. This is also useful for businesses that operate internationally and need to convert currencies for transactions.

Answered by GinnyAnswer | 2025-07-07

To convert 100 USD to Japanese yen, you multiply by the exchange rate of 99.30487 yen per 1 USD. The correct expression is 100 USD times 1 USD 99.30487 yen ​ . Thus, the chosen option is A.
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Answered by Anonymous | 2025-07-08

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