Determine the initial value and the rate of change in the following description.

Question

Last year, Joshua's tomato plant reached a maximum height of 2 feet. He is growing another tomato plant this year, and he is tracking its growth. The plant's height today is 10 inches, and it grows 1.7 inches each day.
(1 point)
The initial value is 6 =, and the rate of change is m =

Answer 1

To determine the initial value and the rate of change of Joshua's new tomato plant growth, we can break it down as follows:

1. Initial Value: This refers to the height of the plant at the beginning of the tracking period. Since the plant's height today is 10 inches, we consider this the initial value.

   Therefore, the initial value is: \[ \text{Initial Value} = 10 \text{ inches} \]

2. Rate of Change: This represents how much the plant grows per day. According to the description, the plant grows at a rate of 1.7 inches each day.

   Therefore, the rate of change is: \[ \text{Rate of Change} = 1.7 \text{ inches/day} \]

So, we have:

• Initial Value = 10 inches
• Rate of Change = 1.7 inches/day