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Farmer Ted grows alfalfa and he has been losing more of his crop each month because of the growth of the rabbit population. Ted has been advised to have the rabbits destroyed, but he feels he can simply increase his production to compensate for the alfalfa destroyed by the rabbits. Currently Ted produces 600 tons of alfalfa each month and he plans to increase his production by 5 tons each month. Last month the rabbits destroyed 3 tons of the crop. The rabbit population around Ted's farm is increasing by 15% each month. If Ted allows the rabbits to continue to destroy part of his crop, at what point will they eat everything he produces? Write a system of equations to represent his dilemma and estimate how long it will take.

2007-03-06 16:00:07 · 6 answers · asked by ash d 2 in Education & Reference Homework Help

thanks for all your help, and i did not get it.

2007-03-06 16:05:16 · update #1

6 answers

let n : number of months

growth of rabbit pop'n : 1.15^(n-1)
consumption of rabbit pop'n : 3 * [1.15^(n-1)]
production of farmer ted : 600 + 5^(n-1)

farmer ted's crops will be gone when the consumption of the rabbits equals his crop production:
3* [1.15^(n-1)] = 600 + 5^(n-1)

solve for n to get how long this scenario will take.

2007-03-06 16:15:37 · answer #1 · answered by rooster1981 4 · 1 0

Get rid of the rabbits. It's more simple.

2007-03-07 00:03:08 · answer #2 · answered by the Boss 7 · 1 0

43.8 queers on one acre of rice paddy with one water buffalo. and 434 pounds of catfish andcarp. plus one king cobrato kill the farmer.

2007-03-07 00:03:05 · answer #3 · answered by Anonymous · 0 0

Sounds more like a math problem than a word problem, and Marvin is right. And if you can't do it, ask your teacher.

2007-03-07 00:03:48 · answer #4 · answered by Anonymous · 0 0

A LITTLE CONFUSING!!! HOW MANY RABBITS WERE THEIR BEFORE?

2007-03-07 00:23:24 · answer #5 · answered by ****BUTTERFLYQWEEN***** 2 · 0 0

Do your own homework.

2007-03-07 00:02:19 · answer #6 · answered by Anonymous · 4 1

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