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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. 
(1 point)
The initial value is b=b=, and the rate of change is m=m=.

1 answer

To determine the initial value and the rate of change in the given description:

  1. Initial Value (b): This refers to the starting height of the tomato plant today. The height today is given as 10 inches, so: \[ b = 10 \text{ inches} \]

  2. Rate of Change (m): This refers to how much the height of the tomato plant grows each day. The plant grows at a rate of 1.7 inches per day, so: \[ m = 1.7 \text{ inches per day} \]

Putting it all together:

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