Answered

Which expression can be used to convert 22 Australian dollars to US dollars?
Assume 1.2 Australian dollars equals 1 US dollar.

A. [tex]\$ 22 \, \text{AUD} \times \frac{1.2 \, \text{USD}}{1 \, \text{AUD}}[/tex]
B. [tex]\$ 22 \, \text{AUD} \times \frac{1 \, \text{USD}}{1.2 \, \text{AUD}}[/tex]
C. [tex]\$ 1.20 \, \text{AUD} \times \frac{1 \, \text{USD}}{1.2 \, \text{AUD}}[/tex]
D. [tex]\$ 1.20 \, \text{AUD} \times \frac{1.2 \, \text{USD}}{1 \, \text{AUD}}[/tex]



Answer :

GinnyAnswer
To convert 22 Australian dollars (AUD) to US dollars (USD), given the conversion rate where 1.2 AUD equals 1 USD, we need to find the correct mathematical expression.

1. The goal is to convert AUD to USD.
2. From the problem, we know the conversion rate is 1 USD = 1.2 AUD.
3. To find out how many USD 22 AUD is equivalent to, we need to divide the amount in AUD by the conversion rate (because we are finding the amount in USD for a given amount in AUD).

This can be set up as follows:
[tex]\[ 22 \text{ AUD} \times \frac{1 \text{ USD}}{1.2 \text{ AUD}} \][/tex]

This means that you take the amount in AUD (22) and multiply it by the fraction that converts AUD to USD. Specifically:
- The numerator of the fraction represents 1 USD.
- The denominator of the fraction represents 1.2 AUD.

Hence, the correct expression to convert 22 AUD to USD is:
[tex]\[ \$22 \text{ AUD} \times \frac{1 \text{ USD}}{1.2 \text{ AUD}} \][/tex]

Out of the given options, this corresponds to:
[tex]\[ \$ 22 \text { AUD } \times \frac{1 \text{ USD }}{1.2 \text{ AUD }} \][/tex]

So, the correct expression is:
[tex]\[ \$22 \text{ AUD} \times \frac{1 \text{ USD}}{1.2 \text{ AUD}} \][/tex]