Answered

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

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

A. \(80 \text{ USD} \times \frac{0.9668 \text{ USD}}{1 \text{ AUD}}\)

B. \(80 \text{ USD} \times \frac{1.0343 \text{ USD}}{1 \text{ AUD}}\)

C. \(80 \text{ USD} \times \frac{0.9668 \text{ AUD}}{1 \text{ USD}}\)

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



Answer :

GinnyAnswer
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]

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