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.
The initial value is B=
and the rate of change is M=
B = 0.83 feet (since 10 inches is equal to 0.83 feet)
M = 1.7 inches per day (or approximately 0.14 feet per day)
To determine the initial value and rate of change, we need to identify the key pieces of information provided in the description.
1. Last year, the maximum height of Joshua's tomato plant was 2 feet. This provides the initial value for this year's tomato plant.
2. The plant's height today is 10 inches, and it grows 1.7 inches each day. This indicates the rate of change in the plant's height.
Now, let's fill in the values for initial value (B) and rate of change (M) based on the information given:
1. The initial height of the tomato plant this year is 2 feet, which is equivalent to 24 inches. Hence, the initial value is B = 24 inches.
2. The tomato plant grows 1.7 inches each day. Therefore, the rate of change (M) is 1.7 inches.
Therefore, the initial value is B = 24 inches and the rate of change is M = 1.7 inches.