Which expression can be used to convert 80 US dollars (USD) to Australian dollars (AUD)?

Given:
[tex]\[ \begin{array}{l}
1 \text{ USD} = 1.0343 \text{ AUD} \\
1 \text{ AUD} = 0.9668 \text{ USD}
\end{array} \][/tex]

A. [tex]\( 80 \text{ USD} \times \frac{0.9668 \text{ USD}}{1 \text{ AUD}} \)[/tex]
B. [tex]\( 80 \text{ USD} \times \frac{1.0343 \text{ USD}}{1 \text{ AUD}} \)[/tex]
C. [tex]\( 80 \text{ USD} \times \frac{0.9668 \text{ AUD}}{1 \text{ USD}} \)[/tex]
D. [tex]\( 80 \text{ USD} \times \frac{1.0343 \text{ AUD}}{1 \text{ USD}} \)[/tex]



Answer :

To convert US dollars (USD) to Australian dollars (AUD), we need to use the exchange rate that gives us the corresponding amount in AUD for a given amount in USD.

Given the exchange rates:
[tex]\[ 1 \text{ USD} = 1.0343 \text{ AUD} \][/tex]
[tex]\[ 1 \text{ AUD} = 0.9668 \text{ USD} \][/tex]

We seek to convert 80 USD to AUD. The exchange rate we need is the one that directly converts USD to AUD:
[tex]\[ 1 \text{ USD} = 1.0343 \text{ AUD} \][/tex]

To find out how many AUD are equivalent to 80 USD, we multiply the amount in USD by the exchange rate:

[tex]\[ 80 \text{ USD} \times \frac{1.0343 \text{ AUD}}{1 \text{ USD}} \][/tex]

When we perform this multiplication:

[tex]\[ 80 \text{ USD} \times 1.0343 \text{ AUD} / \text{ USD} = 82.744 \text{ AUD} \][/tex]

So the correct expression to use is:
[tex]\[ 80 \text{ USD} \times \frac{1.0343 \text{ AUD}}{1 \text{ USD}} \][/tex]