
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 taxi operates in the east-west direction with the Drum Tower as the starting point for $2$ hours in the afternoon. Moving east is considered positive, and moving west is considered negative. The recorded distances (in kilometers) in order are: $+9$, $-3$, $-5$, $+4$, $-8$, $+6$. <br/>$(1)$ What is the total distance traveled by the taxi in $2$ hours? <br/>$(2)$ If the taxi consumes $0.08$ liters of fuel per kilometer, and the price of gasoline is $6$ yuan per liter, how much is the driver's fuel cost for these $2$ hours? <br/>$(3)$ If the starting price is $6$ yuan for the first $3$ kilometers, and beyond that, the passenger is charged $1.5$ yuan per kilometer, how much is the taxi's income excluding fuel costs for the two hours?

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