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
1. The telephone cost is R199 even with zero calls because Ms. Xaba pays a monthly rental fee of R199 for the landline service, which is a fixed charge regardless of usage. 2. Step 1: Calculate the value of A. A corresponds to 4 minutes of calls. The monthly rental is R199 and the call cost is R0.75 per minute. A = Monthly rental + (Number of minutes × Call cost per minute) A = R199 + (4 × R0.75) A = R199 + R3.00 A = R202.00 Step 2: Calculate the value of B. B represents the number of minutes when the telephone cost is R206.50. Cost = Monthly rental + (B × Call cost per minute) R206.50 = R199 + (B × R0.75) R206.50 - R199 = B × R0.75 R7.50 = B × R0.75 B = R7.50R0.75 B = 10 The values are A = R202.00 and B = 10. 3. Let C be the telephone cost and m be the number of minutes. Telephone cost = Monthly rental + (Call cost per minute × Number of minutes) Telephone cost = 199 + 0.75m 4. The grid for drawing the graph is not provided in the image. Therefore, the graph cannot be drawn. The points to be plotted would be: (0, 199), (1, 199.75), (2, 200.50), (3, 201.25), (4, 202.00), (5, 202.75), (10, 206.50), (20, 214), (50, 236.50) The graph would be a straight line with a y-intercept of 199 and a slope of 0.75. That's 2 down. 3 left today — send the next one.