
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A company purchases goods at 8 yuan per item and sells them at 10 yuan per item, selling 100 items per day. If the selling price of the goods increases by 1 yuan, the daily sales volume decreases by 10 items. Let the increase in selling price per item be x yuan, and the daily sales profit be y yuan.
(1) Write the function relationship of y with respect to x and find the daily sales profit when the selling price is 13 yuan;
(2) If the sales profit is 360 yuan, by how many yuan has the selling price increased?

Present the answer in LaTex format: \boxed{Your answer}
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