Kenny filled his hydroponic garden with water. Each day afterwards, he notices a change in the amount of water in the garden.

Question

There is a linear relationship between the time, in days, since Kenny filled the garden with water and the amount of water in the garden, in cups.
Describe the rate of change for this relationship.
The amount of water
by
per day.

Answer 1

To describe the rate of change for Kenny's hydroponic garden's water level, you need to identify the amount of water that is either added to or lost from the garden each day.

Since the problem states there is a linear relationship between the time in days and the amount of water in cups, this implies a constant rate of change. Let's denote:

• The amount of water in the garden at day \( t \) as \( W(t) \)
• The initial amount of water when filled as \( W(0) \)

If the water level decreases or increases over time, you would describe the rate of change as follows:

1. If water is being lost, this would be a negative rate:

   • "The amount of water decreases by \( x \) cups per day."

2. If water is being added or the level increases, this would be a positive rate:

   • "The amount of water increases by \( x \) cups per day."

So you would need the specific value of \( x \) (how many cups are gained or lost per day) to complete the phrase. For example:

• "The amount of water decreases by 2 cups per day."
• "The amount of water increases by 3 cups per day."

Please provide the specific value to finalize the description.