To convert 22 Australian dollars (AUD) to US dollars (USD), given that 1.2 AUD equals 1 USD, we can use a specific conversion factor.
The conversion factor we need is based on the relationship:
[tex]\[ 1 \text{ USD} = 1.2 \text{ AUD} \][/tex]
To find how many USD are equivalent to 22 AUD, we need to set up the conversion in such a way that AUD cancels out, leaving us with USD. The conversion factor should be:
[tex]\[ \frac{1 \text{ USD}}{1.2 \text{ AUD}} \][/tex]
So, the appropriate expression is:
[tex]\[ 22 \text{ AUD} \times \frac{1 \text{ USD}}{1.2 \text{ AUD}} \][/tex]
Now, multiplying 22 AUD by this conversion factor:
[tex]\[ 22 \text{ AUD} \times \frac{1 \text{ USD}}{1.2 \text{ AUD}} = 18.333333333333336 \text{ USD} \][/tex]
Thus, using the expression [tex]\( \$22 \text{ AUD} \times \frac{1 \text{ USD}}{1.2 \text{ AUD}} \)[/tex], we find that 22 AUD is equivalent to 18.333333333333336 USD. Hence, the correct choice is:
[tex]\[ \$22 \text{ AUD} \times \frac{1 \text{ USD}}{1.2 \text{ AUD}} \][/tex]
