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 , ....
