Question

A tree in Sam's backyard was approximately 14 ft tall. The height of the tree is increasing at an average rate of .003 ft per month. Which function can be used to find the height of the tree in x months since it was measured?

Answer 1

`f(x)=0.003x+14`

Explanation:

Let the linear function to represent the height of tree be:

`f(x) =mx+c`

Where
`x` is the time in months

`m` is the rate of change in the height of tree each month.

`c` is the initial height of the tree.

Here, we are given that:

The initial height of the tree is 14 ft.

Increase in the height = 0.003 ft per month

Putting the values in the equation of function:

`f(x)=0.003x+14`

So, the function
`f(x)=0.003x+14` can be used to find the height of tree in
`x` months since it was measured.