SOLUTION: Hello, Could someone please help me with understanding this problem please, thanks in advance. 1.You are planning to spend no less than $6,000 and no more than $10,000 on you

Question 367490: Hello,
Could someone please help me with understanding this problem please, thanks in advance.
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 stanbon(75887) (Show Source): You can put this solution on YOUR website!
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.
6000 <= x <= 10,000
-----------------------------------
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.
---
rock cost: 30*60 = 1800
tree cost: 84x
Inequality: 1800 + 84x <= 2500
-------------------------------------

c)Would 5 trees be a solution to the inequality in part b? Justify your answer.
Let x = 5:
1800 + 84*5 = $2220
Yes, you can buy 5 trees within your budget of $2500
======================================================
Cheers,
Stan H.

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