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)c) Would 5 trees be a solution to the inequality in part b? Justify your answer.

Question

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)c) Would 5 trees be a solution to the inequality in part b? Justify your answer.

Answer 1

See answer to monkeybaby that follows.

Answer 2

suppose you want o cover the backyard with decorative rock and plnt some trees as the first phase of the project. You need 30 tons of rock to cover the area. I f each ton cost 60$ and each tree is $84 what is the maxium number of rees you can buy with a budget for rock and trees of 2500?

Answer 3

ok , so i know that each ton cost 60$ and i need 30 tons of rock to cover the backyard . & each tree is 84$ !andi know that the maximum budget im sopopospsospopopsopopopos

Answer 4

To solve this problem, we need to consider the cost of both the rocks and the trees and determine the maximum number of trees we can buy while staying within the given budget.

Let's assume the number of trees we want to buy is represented by the variable "t."

The cost of the rocks is given as $60 per ton, and we need 30 tons of rocks, so the cost of the rocks is 30 * $60 = $1800.

The cost of each tree is given as $84, and we want to buy "t" trees, so the cost of the trees is t * $84 = $84t.

The total budget we have for rocks and trees is given as $2,500.

Now, we need to set up an inequality to represent the problem. We want the combined cost of rocks and trees to be less than or equal to $2,500.

So the inequality becomes:

1800 + 84t ≤ 2500

Now, let's solve this inequality:

1800 + 84t ≤ 2500
84t ≤ 2500 - 1800
84t ≤ 700
t ≤ 700/84
t ≤ 8.33

Since we are dealing with the number of trees, we need to consider a whole number. Therefore, the maximum number of trees we can buy is 8.

Now, moving on to part c:

To determine if 5 trees are a solution to the inequality, we substitute 5 into the inequality and check if it is true.

1800 + 84 * 5 ≤ 2500
1800 + 420 ≤ 2500
2220 ≤ 2500

Since 2220 is less than or equal to 2500, 5 trees are indeed a solution to the inequality.

See answer to monkeybaby that follows.

8 trees

suppose you want o cover the backyard with decorative rock and plnt some trees as the first phase of the project. You need 30 tons of rock to cover the area. I f each ton cost 60$ and each tree is $84 what is the maxium number of rees you can buy with a budget for rock and trees of 2500?

ok , so i know that each ton cost 60$ and i need 30 tons of rock to cover the backyard . & each tree is 84$ !andi know that the maximum budget im sopopospsospopopsopopopos

To solve this problem, we need to consider the cost of both the rocks and the trees and determine the maximum number of trees we can buy while staying within the given budget.