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.

The initial value is b = ______ , and the rate of change is m = ______

Answer 1

To analyze the growth of Joshua's new tomato plant, we can express its height as a function of time.

1. Initial Value (b): The initial value represents the height of the tomato plant at the beginning of the observation period. According to the information given, the height of the plant today is 10 inches, which represents the initial value:

   \[ b = 10 \text{ inches} \]

2. Rate of Change (m): The rate of change represents how much the height of the plant increases per day. Joshua's plant grows at a rate of 1.7 inches each day:

   \[ m = 1.7 \text{ inches/day} \]

Therefore, the values are:

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

In conclusion:

• Initial value \( b = 10 \)
• Rate of change \( m = 1.7 \)

Answer 2

you sure

Answer 3

Yes, based on the information provided, here is the confirmation of the values:

1. Initial Value (b):

   • The height of the tomato plant today, which is considered the starting point for tracking its growth, is 10 inches. Therefore, the initial value is:

   \[ b = 10 \text{ inches} \]

2. Rate of Change (m):

   • The plant's growth rate is specified as 1.7 inches per day. This indicates how much the height of the plant increases each day, meaning:

   \[ m = 1.7 \text{ inches/day} \]

Thus, the statements are accurate:

• \( b = 10 \)
• \( m = 1.7 \)

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