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 ra

Question

3 years ago

11

te of 2 feet per year. How far above ground level will the nail be in 10 years

1 answer:

AnnZ [28] · Answer 1 · 2021-12-25T16:23:32+03:00

Answer:

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

Step-by-step 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.