math
posted by reggie .
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. Would 5 trees be a solution to the inequality in part b? Justify your answer.

r = tons of rock
t = number of trees
r≥30 to cover yard
c = 60 r + 84 t ≤2500
if I use the minimum amount of rock (30 tons) then I can use the maximum number of trees so
r = 30
60 * 30 + 84 t ≤ 2500
1800 + 84 t ≤ 2500
84 t ≤ 700
t ≤ 8
so 5 trees is a solution
Respond to this Question
Similar Questions

math
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 … 
Math
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 … 
math
You are planning to spend no less than $6,000 and no more than $10,000 on your landscaping project. Write an inequality that demonstrates how much money you will be willing to spend on the project. Suppose you want to cover the backyard … 
MAth Please Help
You are planning to spend no less than $6,000 and no more than $10,000 on your landscaping 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 … 
Math Inequalities
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 … 
math 116 appendix d
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 … 
algebra
b) Suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project. You need 25 tons of rock to cover the area. If each ton cost $70 and each tree is $90, what is the maximum number … 
math
1. 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 $75, what is the minimum number … 
Algebra
For the first phase of the project, imagine you want to cover the backyard with decorative rock and plant some trees. You need 25 tons of rock to cover the area. If each ton costs $62 and each tree is $76, what is the maximum number … 
math
For the first phase of the project, imagine you want to cover the backyard with decorative rock, drought tolerant plants, and trees. You need 18 tons of rock to cover the area and want to purchase 20 plants. If each ton of rock costs …