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Part 1
Garden Bed Equation and Inequality
ScenarioA friend has given you left-over landscaping bricks. You decide to make a garden bed and surround it with the bricks. There are 62 bricks, and each brick is 8 inches long. You would like the garden bed to be slightly more than twice as long as it is wide, as shown in the diagram below. You have also given yourself a budget of $125 for additional materials should you need them. Your local home improvement store sells the same bricks for $1.98 per brick. The displayed sides present the number of bricks on each side, where x is a number of bricks.Assessment InstructionsShow 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?Part 2 Graph InterpretationScenarioThe graph below is provided by a ride-sharing service in your area showing the cost, in dollars, of a ride by the mile.Assessment InstructionsShow 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: Calculate the base fee (in dollars) charged by the ride-share service.Part 2: Calculate the rate of increase in cost in dollars per mile.Part 3: Identify the slope and -intercept of the equation in the graph.Part 4: Write the slope-intercept equation of the line in the graph.Part 5: Use your equation from part 4 to extrapolate the cost of a 50-mile ride.
