1. **Problem Statement:**
We are given a graph showing the relationship between the amount of water $W$ (in liters) in a fish tank and the time $T$ (in minutes) since the tank started being filled. The graph is a straight line starting at the origin $(0,0)$ and rising linearly to approximately $(9,90)$.
2. **Goal:**
Write an equation that describes this proportional relationship between $W$ and $T$.
3. **Formula and Explanation:**
Since the graph is a straight line through the origin, the relationship is proportional and can be written as:
$$W = kT$$
where $k$ is the constant of proportionality (rate of filling in liters per minute).
4. **Find the constant $k$:**
Using the point $(9,90)$ from the graph:
$$k = \frac{W}{T} = \frac{90}{9} = 10$$
5. **Write the equation:**
$$W = 10T$$
6. **Interpretation:**
This means the tank is being filled at a rate of 10 liters per minute.
7. **Summary:**
The equation describing the amount of water in the tank at time $T$ minutes is:
$$W = 10T$$
This linear equation matches the graph and shows a proportional relationship between $W$ and $T$.
Water Filling 1B0185
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