A farmer has a crop of 2,000 orange trees at the beginning of this year. Each year, the farmer plans to plant 250 new trees. Assuming all the trees from one year live into the next, which explicit formula below can be used to determine the total number of orange trees, an, on this farm at the end of the nth year.

Question

Mathematics

Bernard Baldwin

8 October, 16:21

A farmer has a crop of 2,000 orange trees at the beginning of this year. Each year, the farmer plans to plant 250 new trees. Assuming all the trees from one year live into the next, which explicit formula below can be used to determine the total number of orange trees, an, on this farm at the end of the nth year.

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Answers (1)

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Ivan Daugherty · Answer 1

y=250x+2000

Step-by-step explanation:

The farmer starts with 2000 trees and adds 250 each year.

Year 0 2000

Year 1 2000 + 250 = 2000 + 1 (250)

Year 2 2000 + 250 + 250 = 2000 + 2 (250)

Year 3 2000 + 250 + 250 + 250 = 2000 + 3 (250)

Year 4 2000 + 250 + 250 + 250 + 250 = 2000 + 4 (250)

...

Year X 2000 + 250x