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

A. [tex]$80 \text{ USD} \times \frac{0.9668 \text{ USD}}{1 \text{ AUD}}$[/tex]
B. [tex]$80 \text{ USD} \times \frac{1 \text{ 0343 USD}}{1 \text{ AUD}}$[/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 80 US dollars (USD) to Australian dollars (AUD), you need to use the appropriate conversion rate. Given the conversion rate of 1 USD = 1.0343 AUD, the correct expression to use is:

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

Let's break down the process step-by-step:

1. Identify the conversion rate given: [tex]$1 \, \text{ USD} = 1.0343 \, \text{ AUD}$[/tex].
2. Multiply the amount in USD by the conversion rate to find the equivalent amount in AUD.
3. For 80 USD, this calculation becomes:
[tex]\[ 80 \, \text{USD} \times 1.0343 = 82.744 \, \text{AUD} \][/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]

And the equivalent amount in Australian dollars is 82.744 AUD.

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