1. **State the problem:** We need to write an equation representing the relationship between the amount of water $W$ (in liters) and time $T$ (in minutes) based on the graph data.
2. **Identify the relationship:** The graph shows a linear increase from $(0,0)$ to $(9,100)$, indicating a proportional relationship where water increases as time increases.
3. **Write the formula for proportional relationships:**
$$W = kT$$
where $k$ is the constant of proportionality (rate of water filling).
4. **Calculate the constant $k$:**
$$k = \frac{\text{change in } W}{\text{change in } T} = \frac{100 - 0}{9 - 0} = \frac{100}{9} \approx 11.11$$
5. **Write the equation:**
$$W = \frac{100}{9}T$$
6. **Interpret the rate:** The tank is being filled at approximately 11.11 liters per minute.
7. **Choose the correct statement:** Among the options, none exactly matches 11.11 liters per minute, but the closest is:
- The fish tank is being filled with 10 liters of water per minute.
**Final answer:**
$$W = \frac{100}{9}T$$
The fish tank is being filled with approximately 11.11 liters of water per minute, closest to 10 liters per minute option.
Water Time 1Ba8F3
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