9614 Difference Equations Static State

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| Written by Anthony Nunan

Anthony Nunan

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Quizzes Created: 159 | Total Attempts: 45,981

Questions: 15 | Attempts: 52 | Updated: May 16, 2023

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9614 Difference Equations Static State - Quiz

Questions and Answers

1.

A fish hatchery has a increase in fish stock of 20% each breeding season. It keeps a stable population of 15000 fish in its breeding ponds. How many fish are extracted each breeding season to restock the surrounding lakes to keep the population at the fish hatchery stable?

Explanation
we are finding the value of 'd' in a difference equation - the number of fish extracted after percentage increase.. Use the app DEstatic ... you are trying to find 'd'. r is the ratio increase to the population - make sure you convert from a percentage to an r value (use the app percent2r if you have to) while the answer for 'd' is a negative number, the question asks how many are 'extracted' ... you don't extract a negative number. Extract implies it is negative already.

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4
2.

A fish hatchery has a increase in fish stock of 30% each breeding season. It keeps a stable population of 20000 fish in its breeding ponds. How many fish are extracted each breeding season to restock the surrounding lakes to keep the population at the fish hatchery stable?

Explanation
we are finding the value of 'd' in a difference equation - the number of fish extracted after percentage increase.. Use the app DEstatic ... you are trying to find 'd'. r is the ratio increase to the population - make sure you convert from a percentage to an r value (use the app percent2r if you have to) while the answer for 'd' is a negative number, the question asks how many are 'extracted' ... you don't extract a negative number. Extract implies it is negative already.

Rate this question:

4
3.

A fish hatchery has a increase in fish stock of 20% each breeding season. It keeps a stable population of 12000 fish in its breeding ponds. How many fish are extracted each breeding season to restock the surrounding lakes to keep the population at the fish hatchery stable?

Explanation
we are finding the value of 'd' in a difference equation - the number of fish extracted after percentage increase.. Use the app DEstatic ... you are trying to find 'd'. r is the ratio increase to the population - make sure you convert from a percentage to an r value (use the app percent2r if you have to) while the answer for 'd' is a negative number, the question asks how many are 'extracted' ... you don't extract a negative number. Extract implies it is negative already.

Rate this question:

4
4.

A fish hatchery has a increase in fish stock of 35% each breeding season. It keeps a stable population of 20000 fish in its breeding ponds. How many fish are extracted each breeding season to restock the surrounding lakes to keep the population at the fish hatchery stable?

Explanation
we are finding the value of 'd' in a difference equation - the number of fish extracted after percentage increase.. Use the app DEstatic ... you are trying to find 'd'. r is the ratio increase to the population - make sure you convert from a percentage to an r value (use the app percent2r if you have to) while the answer for 'd' is a negative number, the question asks how many are 'extracted' ... you don't extract a negative number. Extract implies it is negative already.

Rate this question:

4
5.

A fish hatchery has a increase in fish stock of 32% each breeding season. It keeps a stable population of 15000 fish in its breeding ponds. How many fish are extracted each breeding season to restock the surrounding lakes to keep the population at the fish hatchery stable?

Explanation
we are finding the value of 'd' in a difference equation - the number of fish extracted after percentage increase.. Use the app DEstatic ... you are trying to find 'd'. r is the ratio increase to the population - make sure you convert from a percentage to an r value (use the app percent2r if you have to) while the answer for 'd' is a negative number, the question asks how many are 'extracted' ... you don't extract a negative number. Extract implies it is negative already.

Rate this question:

4
6.

A sustainable pine plantation has 5000 trees growing, all at different growth stages. Each year they plant a particular percentage of trees to allow them to cut down 1750 trees. What percentage of the total trees need to be planted each year to keep the plantation numbers stable?

Explanation
we are finding the value of 'r' in a difference equation, then converting it to a percentage!
Use the app DEstatic. You are trying to find 'r' - because you are given the first term and the value for 'd'. Once you find the value for r, make sure you convert it to a percentage. (use percent2r if you aren't good at that).

Rate this question:

4
7.

A sustainable pine plantation has 12000 trees growing, all at different growth stages. Each year they plant a particular percentage of trees to allow them to cut down 3600 trees. What percentage of the total trees need to be planted each year to keep the plantation numbers stable?

Explanation
we are finding the value of 'r' in a difference equation, then converting it to a percentage!
Use the app DEstatic. You are trying to find 'r' - because you are given the first term and the value for 'd'. Remember - the trees are cut down so d is negative! Once you find the value for r, make sure you convert it to a percentage. (use percent2r if you aren't good at that).

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4
8.

A chicken farmer earns his living by selling eggs and meat from his farm.He is creating a new farm, where he wants to sell 2250 chickens a month. He knows that he can increase his chicken stocks by 15% each month with his existing practices. How many chickens will he need to have when he commences in order to create a sustainable business?

Explanation
we are finding the value of 'a' in a difference equation
Use the app DEstatic. You are trying to find 'a' - because you are given the value for 'r' and the value for 'd'. He is selling chickens, so the d value will be negative. Convert your percentage to an r value first - use percent2r if you aren't good at it.

Rate this question:

4
9.

A sustainable pine plantation has 16000 trees growing, all at different growth stages. Each year they plant a particular percentage of trees to allow them to cut down 3520 trees. What percentage of the total trees need to be planted each year to keep the plantation numbers stable?

Explanation
we are finding the value of 'r' in a difference equation, then converting it to a percentage!
Use the app DEstatic. You are trying to find 'r' - because you are given the first term and the value for 'd'. Remember - the trees are cut down so d is negative! Once you find the value for r, make sure you convert it to a percentage. (use percent2r if you aren't good at that).

Rate this question:

4
10.

A sustainable pine plantation has 8000 trees growing, all at different growth stages. Each year they plant a particular percentage of trees to allow them to cut down 2000 trees. What percentage of the total trees need to be planted each year to keep the plantation numbers stable?

Explanation
we are finding the value of 'r' in a difference equation, then converting it to a percentage!
Use the app DEstatic. You are trying to find 'r' - because you are given the first term and the value for 'd'. Once you find the value for r, make sure you convert it to a percentage. (use percent2r if you aren't good at that).

Rate this question:

4
11.

A sustainable pine plantation has 15000 trees growing, all at different growth stages. Each year they plant a particular percentage of trees to allow them to cut down 6000 trees. What percentage of the total trees need to be planted each year to keep the plantation numbers stable?

Explanation
we are finding the value of 'r' in a difference equation, then converting it to a percentage!
Use the app DEstatic. You are trying to find 'r' - because you are given the first term and the value for 'd'. Remember - the trees are cut down so d is negative! Once you find the value for r, make sure you convert it to a percentage. (use percent2r if you aren't good at that).

Rate this question:

4
12.

A chicken farmer earns his living by selling eggs and meat from his farm.He is creating a new farm, where he wants to sell 3240 chickens a month. He knows that he can increase his chicken stocks by 18% each month with his existing practices. How many chickens will he need to have when he commences in order to create a sustainable business?

Explanation
we are finding the value of 'a' in a difference equation
Use the app DEstatic. You are trying to find 'a' - because you are given the value for 'r' and the value for 'd'. He is selling chickens, so the d value will be negative. Convert your percentage to an r value first - use percent2r if you aren't good at it.

Rate this question:

4
13.

A chicken farmer earns his living by selling eggs and meat from his farm.He is creating a new farm, where he wants to sell 1680 chickens a month. He knows that he can increase his chicken stocks by 12% each month with his existing practices. How many chickens will he need to have when he commences in order to create a sustainable business?

Explanation
we are finding the value of 'a' in a difference equation
Use the app DEstatic. You are trying to find 'a' - because you are given the value for 'r' and the value for 'd'. He is selling chickens, so the d value will be negative. Convert your percentage to an r value first - use percent2r if you aren't good at it.

Rate this question:

4
14.

A chicken farmer earns his living by selling eggs and meat from his farm.He is creating a new farm, where he wants to sell 1040 chickens a month. He knows that he can increase his chicken stocks by 13% each month with his existing practices. How many chickens will he need to have when he commences in order to create a sustainable business?

Explanation
we are finding the value of 'a' in a difference equation
Use the app DEstatic. You are trying to find 'a' - because you are given the value for 'r' and the value for 'd'. He is selling chickens, so the d value will be negative. Convert your percentage to an r value first - use percent2r if you aren't good at it.

Rate this question:

4
15.

A chicken farmer earns his living by selling eggs and meat from his farm.He is creating a new farm, where he wants to sell 2160 chickens a month. He knows that he can increase his chicken stocks by 18% each month with his existing practices. How many chickens will he need to have when he commences in order to create a sustainable business?

Explanation
we are finding the value of 'a' in a difference equation
Use the app DEstatic. You are trying to find 'a' - because you are given the value for 'r' and the value for 'd'. He is selling chickens, so the d value will be negative. Convert your percentage to an r value first - use percent2r if you aren't good at it.

Rate this question:

4

9614 Difference Equations Static State

A fish hatchery has a increase in fish stock of 20% each breeding season. It keeps a stable population of 15000 fish in its breeding ponds. How many fish are extracted each breeding season to restock the surrounding lakes to keep the population at the fish hatchery stable?

A fish hatchery has a increase in fish stock of 30% each breeding season. It keeps a stable population of 20000 fish in its breeding ponds. How many fish are extracted each breeding season to restock the surrounding lakes to keep the population at the fish hatchery stable?

A fish hatchery has a increase in fish stock of 20% each breeding season. It keeps a stable population of 12000 fish in its breeding ponds. How many fish are extracted each breeding season to restock the surrounding lakes to keep the population at the fish hatchery stable?

A fish hatchery has a increase in fish stock of 35% each breeding season. It keeps a stable population of 20000 fish in its breeding ponds. How many fish are extracted each breeding season to restock the surrounding lakes to keep the population at the fish hatchery stable?

A fish hatchery has a increase in fish stock of 32% each breeding season. It keeps a stable population of 15000 fish in its breeding ponds. How many fish are extracted each breeding season to restock the surrounding lakes to keep the population at the fish hatchery stable?

A sustainable pine plantation has 5000 trees growing, all at different growth stages. Each year they plant a particular percentage of trees to allow them to cut down 1750 trees. What percentage of the total trees need to be planted each year to keep the plantation numbers stable?

A sustainable pine plantation has 12000 trees growing, all at different growth stages. Each year they plant a particular percentage of trees to allow them to cut down 3600 trees. What percentage of the total trees need to be planted each year to keep the plantation numbers stable?

A sustainable pine plantation has 16000 trees growing, all at different growth stages. Each year they plant a particular percentage of trees to allow them to cut down 3520 trees. What percentage of the total trees need to be planted each year to keep the plantation numbers stable?

A sustainable pine plantation has 8000 trees growing, all at different growth stages. Each year they plant a particular percentage of trees to allow them to cut down 2000 trees. What percentage of the total trees need to be planted each year to keep the plantation numbers stable?

A sustainable pine plantation has 15000 trees growing, all at different growth stages. Each year they plant a particular percentage of trees to allow them to cut down 6000 trees. What percentage of the total trees need to be planted each year to keep the plantation numbers stable?