SOLUTION: 1. You are planning to spend no less than $6,000 and no more than $10,000 on your landscaping project. a) Write an inequality that demonstrates how much money you will be willin

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Question 174135: 1. You are planning to spend no less than $6,000 and no more than $10,000 on your landscaping project.
a) Write an inequality that demonstrates how much money you will be willing to spend on the project.

b) Suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project. You need 30 tons of rock to cover the area. If each ton cost $60 and each tree is $84, what is the maximum number of trees you can buy with a budget for rock and trees of $2,500? Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer.
c) Would 5 trees be a solution to the inequality in part b? Justify your answer.

Answer by Mathtut(3670) (Show Source):
You can put this solution on YOUR website!
1.a)let x be the amount of money you can spend landscaping
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b) ok we need 30 tons of rock which costs 60 bucks a ton. 30(60)=1800. If we have a budget of 2500 and we have already spent 1800 then we have to subtract out what is spent to arrive at what is left to work with
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2500-1800=700. This is what we have left to work with for the trees. lets call the number of trees we can buy t. Lets write an equation representing what the possibilities are for our trees.
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each tree cost 84 dollars so lets solve for x.
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since we cant buy part of a tree it looks as if the maximum number of trees we can buy at 84 dollars per tree is 8.
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c.)let see if t=5 makes our inequality a true statement plug in 5 for t and we get . That indeed hold true for this inequality therefore it is a solution.