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

Answer:

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

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

Step-by-step 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 , ....