To convert from US dollars (USD) to Australian dollars (AUD), you need to use the direct conversion rate given:
[tex]\[ 1 \text{ USD} = 1.0343 \text{ AUD} \][/tex]
Let's analyze each of the provided conversion expressions to determine which one is correct.
1. [tex]\(80 \text{ USD} \times \frac{0.9668 \text{ USD}}{1 \text{ AUD}}\)[/tex]
This expression attempts to convert USD to USD using the inverse of the AUD to USD conversion rate, which would be incorrect. It does not give us AUD.
2. [tex]\(80 \text{ USD} \times \frac{1.0343 \text{ USD}}{1 \text{ AUD}}\)[/tex]
This expression tries to use the direct USD to AUD conversion rate, but it is set up incorrectly with the units. It does not help us convert USD to AUD properly; the units would not cancel out correctly.
3. [tex]\(80 \text{ USD} \times \frac{0.9668 \text{ AUD}}{1 \text{ USD}}\)[/tex]
This expression uses the inverse of the correct conversion rate but still attempts to convert USD directly using the inverse rate in a way that makes it incorrect for USD to AUD conversion.
4. [tex]\(80 \text{ B0USD} \times \frac{1.0343 \text{ AUD}}{1 \text{ USD}}\)[/tex]
Adjust the typo here to [tex]\(80 \text{ USD} \times \frac{1.0343 \text{ AUD}}{1 \text{ USD}}\)[/tex]:
This expression correctly uses the conversion rate [tex]\(1 \text{ USD} = 1.0343 \text{ AUD}\)[/tex] in the proper format to convert 80 USD to AUD. The units will cancel appropriately:
[tex]\[
80 \text{ USD} \times \frac{1.0343 \text{ AUD}}{1 \text{ USD}} = 82.744 \text{ AUD}
\][/tex]
So, the correct expression is:
[tex]\[ 80 \text{ USD} \times \frac{1.0343 \text{ AUD}}{1 \text{ USD}} \][/tex]
This converts 80 USD to 82.744 AUD.
