1. **Problem Statement:**
We need to write an equation representing the relationship between the amount of water $W$ (in liters) and time $T$ (in minutes) for filling a fish tank.
2. **Understanding the problem:**
The problem gives multiple choice statements about how fast the tank is being filled. We want to find the correct rate and write the equation.
3. **Formulating the equation:**
If the tank is filled at a constant rate, the relationship between water volume $W$ and time $T$ is linear:
$$W = r \times T$$
where $r$ is the rate of filling in liters per minute.
4. **Analyzing the choices:**
- 1 liter per minute means $r=1$
- 1 liter per 10 minutes means $r=\frac{1}{10}=0.1$
- 10 liters per minute means $r=10$
- 20 liters per minute means $r=20$
5. **Choosing the correct statement:**
Since the problem does not provide explicit data, but the options suggest the rate is 1 liter per minute (most reasonable and common rate), the equation is:
$$W = 1 \times T = T$$
6. **Final answer:**
(a) The equation is:
$$W = T$$
(b) The correct statement is:
"The fish tank is being filled with 1 liter of water per minute."
Water Time Dd3914
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.