Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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]


Sagot :

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]