To determine the correct expression for converting 80 US dollars (USD) to Australian dollars (AUD), we need to use the appropriate conversion rate between these two currencies. Given the conversion rates:
- \(1 \text{ USD} = 1.0343 \text{ AUD} \)
- \(1 \text{ AUD} = 0.9668 \text{ USD} \)
We will use the conversion rate that relates USD to AUD directly, which is:
[tex]\[1 \text{ USD} = 1.0343 \text{ AUD}\][/tex]
Here’s the step-by-step explanation:
1. Identify the correct conversion rate:
We need to convert USD to AUD, so we should directly use the rate of \(1 \text{ USD} = 1.0343 \text{ AUD}\).
2. Set up the conversion expression:
We multiply the amount in USD by the conversion factor from USD to AUD.
3. Convert 80 USD to AUD:
[tex]\[
80 \text{ USD} \times 1.0343 \frac{\text{AUD}}{\text{USD}}
\][/tex]
Thus, the expression to convert 80 USD to AUD is:
[tex]\[
80 \text{ USD} \times \frac{1.0343 \text{ AUD}}{1 \text{ USD}}
\][/tex]
Using this expression, if we calculate the conversion:
[tex]\[
80 \text{ USD} \times 1.0343 \text{ AUD} = 82.744 \text{ AUD}
\][/tex]
So, the correct expression is:
[tex]\[ \boxed{80 \text{ USD} \times \frac{1.0343 \text{ AUD}}{1 \text{ USD}}} \][/tex]
