Final Answer:
An equation relating ( w ) to ( t ) is w = 30t + 700. Thus, the correct answer is option A. w = 30t + 700.
Step-by-step explanation:
The correct equation is w = 30t + 700. This equation represents the relationship between the amount of water in the pond (w) and the number of minutes the water has been added (t). The constant term 700 indicates the initial amount of water in the pond (700 liters), and the term 30t represents the additional water added at a rate of 30 liters per minute.
In this context, the equation makes intuitive sense. The initial amount of water in the pond is 700 liters, and with each passing minute (t), 30 liters of water are added. Therefore, multiplying the rate of water addition (30 liters/minute) by the time (t) and adding the initial amount of water (700 liters) gives the total amount of water in the pond at any given time.
It's crucial to understand the structure of the equation to interpret its meaning correctly. The term (30t) accounts for the cumulative amount of water added over time, and the constant 700 represents the starting point. This equation provides a clear and concise way to model the dynamic relationship between the water level and time in the pond. Therefore, the correct answer is option A. w = 30t + 700.