Question

Show and explain all steps in your responses to the following parts of the assignment using the algebra concepts discussed within the course. all mathematical steps and explanations must be typed up and formatted using the equation editor.

part 1: write an equation representing the perimeter of the garden bed.
part 2: calculate how many bricks are used on each side.
part 3: determine the length of each side.
part 4: write an inequality that represents how many bricks can be purchased within your budget.
part 5: will you be able to make another complete layer of bricks on top and stay within your budget?

Answer 1

The detailed answer provides step-by-step explanations for each part of the assignment, including writing the equation for the perimeter, calculating the number of bricks, determining the length of each side, writing an inequality for the budget, and evaluating if another layer of bricks is possible.

Step-by-step explanation:

Part 1: The perimeter of a garden bed can be represented by the equation P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.

Part 2: To calculate how many bricks are used on each side, divide the perimeter by the length of each brick.

Part 3: To determine the length of each side, divide the perimeter by 4, as there are four sides in a garden bed.

Part 4: To write an inequality that represents how many bricks can be purchased within your budget, multiply the cost of each brick by the maximum number of bricks you can afford, and compare it to the budget.

Part 5: To determine if you can make another complete layer of bricks on top and stay within your budget, compare the cost of the bricks for the additional layer to the remaining budget.