
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
To understand the power consumption of a new energy vehicle of a certain brand, the relevant technical personnel conducted a power consumption test on this new energy vehicle at the vehicle test base. The test data is recorded as follows:

| Driving Time $t$ (h) | 0 | 1 | 2 | 3 | $\ldots$ |
|----------------------|---|---|---|---|---------|
| Remaining Power $Q$ ($kW\cdot h$) | 80 | 65 | 50 | 35 | $\ldots$ |

$(1)$ Based on the data in the table, please write the relationship between $Q$ and $t$.  
$(2)$ When the car has been driven for $5$ hours, how much power is left?  
$(3)$ When the remaining power of the car is $40 kW\cdot h$, if it travels at a constant speed of $90 km/h$, how far can the car still travel?

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