Question

Henri had a plum tree. The first week it was 15 feet. 2 weeks after that is was 22 feet and 2 more weeks later is was 36 feet. write an equation to represent the growth of Henri's plum tree.

Answer 1

The equation of tree's growth is given as : C(n) = 15 + 7 n ,

n = pair of weeks, n = 2, 4, 6 , 8 , ....

Explanation:

Here, the initial height of the plum tree = 15 ft

⇒h (0) = 15 ft

Now, after two weeks the tree is 22 ft

⇒h (2) = 22 ft

Now,the growth of tree in 2 weeks

= Height after 2 weeks - Initial height of tree

= 22 ft - 15 ft = 7 ft

So, the plum tree grows 7 ft in 2 weeks

⇒ The plum tree grown (7/2) ft in 1 week.

Also, the growth of tree in next 2 weeks = 36 ft

So, the growth of tree in next 2 weeks

= Height after 4 weeks - Height after 2 weeks

= 36 ft - 22 ft = 14 ft

So, the tree grows 14 ft in next two weeks.

⇒ The tree grows 7 ft in next 2 weeks.

hence, the complete growth of each week is given as:

15 ft , 18.5 ft , 22 ft , 29 ft , 36 ft

So, the equation of tree' growth is given as : C(n) = 15 + 7 n

Here, n = Pair of weeks, n = 2, 4, 6 , 8 , ....