Question

You hammer a nail into a tree trunk 10 ft above the ground (and the tree is currently 20 ft tall). The tree grows taller at a rate of 2 feet per year. How far above ground level will the nail be in 10 years

Answer 1

The nail would be 30 feet above the ground in 10 years.

Explanation:

We are given the following in the question:

Height of nail = 10 feet.

The tree grows taller at a rate of 2 feet per year.

Thus, the height of nail can be represented by a linear function:

`h(t) = 10 + 2t`

where t is the number of years.

We have to find the height of nail in 10 years.

Putting t = 10, we get,

`h(10) = 10 + 2(10)\\h(10) = 30`

Thus, the nail would be 30 feet above the ground in 10 years.