Question

Question

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

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=
, and the rate of change is m=
.

Answer 1

In the context of the problem:

• The initial value refers to the height of the tomato plant at the starting point of observation, which is today. Since the plant's height today is 10 inches, we have:

  \( b = 10 , \text{inches} \)

• The rate of change refers to how much the plant grows each day, which is given as 1.7 inches per day. Therefore, we have:

  \( m = 1.7 , \text{inches/day} \)

So, the initial value is \( b = 10 \) inches, and the rate of change is \( m = 1.7 \) inches/day.