Apply appropriate algebraic methods Question 4: A number of years ago, the city

Question

Apply appropriate algebraic methods

Question 4: A number of years ago, the city planning department started a tree planting program to beautify the city. Below are data that show the total number of trees (including new trees planted) in the city since the program began. Starting umber | 1990 | 1991 of Trees Year 19921993 Number of Trees 600 645 690 735 780 A. You are a member of the city planning department and your job is to decide if the department's plan to continue planting the same number of trees each year until the goal of a total of 5,000 trees can be reached by the year 2020. B. Assuming that no trees die, what would be the total number of trees in the city in the year 2020? Show how you found your answer In a 1989 newspaper article, the city claimed that it would have a total of 5,000 trees in the city by the time of the city's centennial celebration in the year 2088. If the planting of the new trees continues through the years at the same rate, can this goal be met? Justify C. your answer D. Write a short letter to the editor of the newspaper explaining your findings after examining the data. Be sure to support your claim with algebra.

Explanation / Answer

A) if we observe the planting sequence , it is in arithmetic progression so use the summation formula to find total number of trees.

a=600,difference d=45, and the number of years from. 1990 -2020 is 30 so n= 30.

Total s =n /2(a+ (n-1)d )=37575.so at the time of 2020 easily reach the goal .

B)As we have seen above the number of trees can be planted in 30years by planting 45trees extra than before year surely cross the target.

C) we have already calculated total number of trees can be planted in first part.

D)To

The editor,

We are from planning department. As we started planting trees from 1990 with 600 trees as starting and increasing by45 every year.continued planting with this rate can be reached the target by 2020.

We are from

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