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
Morning Sibusiso — let's get this done. Question 1: 1.1 To complete the table, we use the formula: Total Cost (R) = Fixed monthly fee + (Cost per minute × Minutes). Given: Fixed monthly fee = R20, Cost per minute = R2.50. So, Total Cost (R) = 20 + (2.50 × M). Step 1: Calculate the total cost for each number of minutes. For M = 0: Total Cost = 20 + (2.50 × 0) = 20 + 0 = 20 For M = 5: Total Cost = 20 + (2.50 × 5) = 20 + 12.50 = 32.50 For M = 10: Total Cost = 20 + (2.50 × 10) = 20 + 25 = 45 For M = 15: Total Cost = 20 + (2.50 × 15) = 20 + 37.50 = 57.50 For M = 20: Total Cost = 20 + (2.50 × 20) = 20 + 50 = 70 For M = 30: Total Cost = 20 + (2.50 × 30) = 20 + 75 = 95 Step 2: Complete the table with the calculated values. |c|c| Minutes (M) & Total Cost (R) \\ 0 & 20 \\ 5 & 32.50 \\ 10 & 45 \\ 15 & 57.50 \\ 20 & 70 \\ 30 & 95 \\ Question 2: 2.1 Describe how the total cost changes as minutes increase. As the number of minutes increases, the total cost also increases. For every additional minute, the total cost increases by a constant amount. 2.2 What is the cost per additional minute? The cost per additional minute is given in the problem description. The cost per additional minute is R2.50. 2.3 Is the relationship increasing or decreasing? Explain. The relationship is increasing. As the number of minutes used increases, the total cost also increases because there is a positive cost associated with each additional minute. Question 3: 3.1 Draw a graph showing the relationship between minutes and total cost. I cannot draw a graph directly, but here are the instructions and points you need to plot: Title: Total Cost vs. Minutes for a Prepaid Plan Correct labels: X-axis: Minutes (M) Y-axis: Total Cost (R) Suitable scale: Choose a scale that allows all points to fit comfortably on your graph paper. For example, for minutes, you could use 1 unit = 5 minutes. For total cost, you could use 1 unit = R10. At least 5 plotted points: Use the following points from the completed table: (0, 20) (5, 32.50) (10, 45) (15, 57.50) (20, 70) (30, 95) Straight line: Connect the plotted points with a straight line, as this is a linear relationship. Send me the next one 📸