The function models the relationship between the height of the tree f(m) and the number of m months of growth is f(m) = 2.5 m + 14 ⇒ B
Step-by-step explanation:
The given is:
We need to find a function models the relationship between the height of the tree f(m) and the number of m months of growth
∵ The height of it is expected to grow 2.5 inches each month
∴ The rate of increase of its height is 2.5 inches per month
The relation between the height of the tree f(m) over m months can be represented as a linear function of form f(x) = m x + b, where m is the rate of change and b is the initial amount
∵ f(m) is the height of the tree over m months
∴ f(x) = f(m) and x = m
∵ The initial height of the tree is 14 inches
∴ b = 14
∵ The rate of change of the height is 2.5 inches per month
∴ m = 2.5
- Substitute these values in the form of the function
∴ f(m) = 2.5 m + 14
The function models the relationship between the height of the tree f(m) and the number of m months of growth is f(m) = 2.5 m + 14
Learn more:
You can learn more about linear functions in brainly.com/question/9801816
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