
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
In the second lesson of the "Heavenly Palace Classroom" held at the Chinese space station, the Shenzhou 13 crew members Zhai Zhigang, Wang Yaping, and Ye Guangfu cooperated to give lectures and demonstrate space experiments such as "ice and snow" experiments in space, liquid bridge demonstration experiments, water-oil separation experiments, and space parabolic experiments. They introduced and showcased space science facilities to spread and popularize space science knowledge, inspiring young people to continuously pursue their "scientific dreams" and realize their "space dreams." Class 7-1's "Ask the Sky Team" found through research that there is a relationship between the speed of sound propagation in air and the change in temperature as follows:

| Temperature $t/^{\circ}\mathrm{C}$ | $0$ | $5$ | $10$ | $15$ | $20$ | $25$ |
|------------------------------------|-----|-----|------|------|------|------|
| Speed of sound in air $v(m/s)$     | $331$ | $334$ | $337$ | $340$ | $343$ | $346$ |

Read the above information and answer the following questions:
1. In this changing process, the independent variable is ____, and the dependent variable is ____;
2. From the data in the table, it can be seen that for every increase of $1^{\circ}C$ in temperature, the speed of sound propagation in air increases by ____ $m/s$.
3. The relationship between the speed of sound propagation $v(m/s)$ in air and the temperature $t(^{\circ}\mathrm{C})$ can be expressed as ____;
4. On a certain day, the temperature is $18^{\circ}C$. Huanhuan heard the sound of fireworks $5s$ after seeing them explode. How far away is Huanhuan approximately from the location where the fireworks were set off?

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