Subjects algebra

Water Time 1Ba8F3

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

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.