You are filling a community swimming pool they start with an empty pool and can fill it at 60 gallons per minute. The function w=60x represents the situation. A reasonable unit for the variable x is _______. A reasonable unit for the variable w is ______ and the range represents _____

Answer 1

In the function \( w = 60x \) that describes the situation of filling the swimming pool:

1. A reasonable unit for the variable \( x \) is minutes. This variable represents the time elapsed since the filling started.

2. A reasonable unit for the variable \( w \) is gallons. This variable represents the total amount of water that has been added to the pool after \( x \) minutes.

3. The range represents the total gallons of water in the pool as it fills over time. Since the filling starts at 0 gallons and continues until the pool reaches its capacity, the range can be thought of as all possible amounts of water in gallons that can be filled within the constraints of the pool's total capacity. If the pool has a maximum capacity \( C \), then the range would be from \( 0 \) to \( C \) gallons.