Question

Question:

A tree is currently 8 feet tall and grows 3 feet per year.

Part A:
Rewrite the explicit formula of the sequence in the form of a function.

Part B:
How tall, in feet, will the tree be in 12 years?

Options:

A) f(n) = 8n + 3

B) f(n) = 12n - 3

C) f(n) = 3n + 8

D) f(n) = 3n - 8

Answer 1

A) f(n) = 8n + 3. The explicit formula of the sequence in the form of a function is f(n) = 8 + 3n. The tree will be 44 feet tall in 12 years.

Step-by-step explanation:

The explicit formula for the sequence can be written as a function in the form of f(n) = 8 + 3n. In this formula, 'n' represents the number of years and 'f(n)' represents the height of the tree in feet.

To find the height of the tree in 12 years, we can substitute 'n' with 12 in the function. So, f(12) = 8 + 3(12) = 8 + 36 = 44 feet.