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 b=
0
, and the rate of change is m=2
.

Answer 1

In this context, we are looking at the growth of Joshua's new tomato plant.

1. Initial Value (b): This refers to the height of the plant at the start of observation, which is today. The plant's height today is 10 inches, so the initial value \( b = 10 \).

2. Rate of Change (m): This represents how much the height of the plant increases each day. The plant grows at a rate of 1.7 inches per day, so the rate of change \( m = 1.7 \) inches per day.

Therefore, the answer is:

• The initial value is \( b = 10 \) inches.
• The rate of change is \( m = 1.7 \) inches per day.