1. You are planning to spend no more than $10,000 and no less than $8,000 on your landscaping project.

Question

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

b. For the first phase of the project, imagine you want to cover the backyard with decorative rock and plant some trees. You need 30 tons of rock to cover the area. If each ton costs $80 and each tree is $104, what is the maximum number of trees you can buy with a budget of $3,500? 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 twelve trees be a solution to the inequality in Part b? Justify your answer.

Answer 1

a. $8,000 < x < $10,000

b. $3,500 - 30($80) > $104x

I'll leave the rest to you.

Answer 2

a. $8,000 <= X =< $10,000.

b. $104X + $80*30 <= $3500,
104X + 2400 <=3500,
104X <= 3500 - 2400,
104X <= 1100,
X<=10.6,
Or
X = 10 = Max. he can buy.