
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
During the strawberry sales season, a strawberry plantation introduced a self-picking sales model to attract customers. The relationship between the amount of strawberries picked $x(kg)$ and the cost $y (元)$ is as shown in the table below:

| Amount of Strawberries Picked $x(kg)$ | $1$ | $2$ | $3$ | $4$ | $\ldots \ldots$ |
|---------------------------------------|-----|-----|-----|-----|-------------------|
| Cost $y (元)$                         | $16+2.5$ | $32+2.5$ | $48+2.5$ | $64+2.5$ | $\ldots \ldots$ |

$(1)$ In the table above, the independent variable is ______, and the dependent variable is ______;  
$(2)$ By observing the data in the table, please write the relationship between $y$ and $x$; Lily's family picked a total of $5.5kg$ of strawberries, how much should they pay?

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