You are planning to spend no less than $6,000 and no more than $10,000 on your landscaping project.

Question

Write an inequality that demonstrates how much money you will be willing to spend on the project.

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

Answer 1

$6,000≤x≤$10,000 where x is total amount
Well your 30 tons of rock will cost
30 * $60 = $1800
so you are left with
2500 - 1800 = 700 for trees
700/84 = 8 1/3 but 1/3 of a tree will not do so we can only buy 8 trees
y ≤ 8 where y is the number of trees

Answer 2

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.

Answer 3

The coordinate graph of the backyard shows the location of trees, plants, the patio, and utility lines. (If necessary, you may copy and paste the image to another document and enlarge it.)