This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — here are the solutions to the questions: 2.3.1 Step 1: Determine the formula for Income and Expense. • Income (R) = Number of burgers sold × R30.00 • Expense (R) = Fixed costs + (Number of burgers sold × Cost to make one burger) Expense (R) = R120.00 + (Number of burgers sold × R10.00) Step 2: Calculate the value for A (Income when 4 burgers are sold). Income for 4 burgers = 4 × R30.00 Income for 4 burgers = R120.00 So, A = 120. Step 3: Calculate the value for B (Expense when 6 burgers are sold). Expense for 6 burgers = R120.00 + (6 × R10.00) Expense for 6 burgers = R120.00 + R60.00 Expense for 6 burgers = R180.00 So, B = 180. The completed table is: | Number of burgers sold | 0 | 2 | 4 | 6 | 8 | 10 | | :--------------------- | :-- | :-- | :--- | :--- | :-- | :-- | | Income (R) | 0 | 60 | 120 | 180 | 240 | 300 | | Expense (R) | 120 | 140 | 160 | 180 | 200 | 220 | 2.3.2 Step 1: Identify the coordinates for plotting the Income and Expense graphs. • Income (Number of burgers, Income in R): (0, 0), (2, 60), (4, 120), (6, 180), (8, 240), (10, 300) • Expense (Number of burgers, Expense in R): (0, 120), (2, 140), (4, 160), (6, 180), (8, 200), (10, 220) Step 2: Draw the graphs on a set of axes. Plot the income points and draw a line through them. Plot the expense points and draw a line through them. (Note: As an AI, I cannot draw the graph for you, but you can plot these points on graph paper.) Step 3: Determine the break-even point from the graph. The break-even point is where the Income graph and the Expense graph intersect. At this point, Income equals Expense. From the table in 2.3.1, when 6 burgers are sold, both Income and Expense are R180. Therefore, the break-even point is (6 burgers, R180). What's next?