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Functions Unit Test

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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=

1 answer

To determine the initial value and the rate of change for Joshua's tomato plant, we start by identifying the two components from the description provided:

  1. Initial Value (b): This is the height of the tomato plant today, which is given as 10 inches.

    So, the initial value is \( b = 10 \) inches.

  2. Rate of Change (m): This represents how fast the plant is growing each day, which is stated to be 1.7 inches per day.

    Thus, the rate of change is \( m = 1.7 \) inches per day.

In summary:

  • The initial value \( b = 10 \)
  • The rate of change \( m = 1.7 \)