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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.
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1 answer

To determine the initial value and the rate of change in the description provided, we need to identify two key components:

  1. Initial Value: This represents the starting height of the new tomato plant. Today, the height of the plant is given as 10 inches. Therefore, the initial value is:

    • Initial Height: 10 inches.

  2. Rate of Change: This indicates how much the height of the plant changes over time, typically per day in this context. The description states that the plant grows 1.7 inches each day. Thus, the rate of change is:

    • Rate of Change: 1.7 inches per day.

In summary:

  • Initial Value: 10 inches
  • Rate of Change: 1.7 inches per day