Final answer:
Nicole's yearly salary is calculated by multiplying her total spending on clothing, which is $9,000, by 6 since the clothing budget is 1/6th of her salary. Therefore, her annual salary is $54,000.
Step-by-step explanation:
The question asks to determine Nicole's yearly salary if she spends 1/6 of it on clothing and her total spending on clothing for the year is $9,000.
We can set up the equation where 1/6 of her salary (S) equals $9,000:
1/6 * S = $9,000.
Multiplying both sides of the equation by 6 (to isolate S), we get:
S = $9,000 * 6,
S = $54,000.
Therefore, Nicole's yearly salary is $54,000, which corresponds to option a.