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
Step 1: Complete the table for P6 (Question 1.1). The formula for P6 parking cost is: Price for first 24 hours + (number of 12 hours × price for every 12 hours thereafter). For P6: Price for first 24 hours: R85.00 Price for every 12 hours thereafter: R42.00 a)* For 12 hours: This falls within the 0-24 hour bracket. P(12) = R85.00 b)* For 24 hours: This is exactly 24 hours. P(24) = R85.00 c)* For 36 hours: This is 24 hours + 12 hours. Number of 12-hour blocks thereafter = (36 - 24)/(12) = (12)/(12) = 1. P(36) = R85.00 + (1 × R42.00) = R85.00 + R42.00 = R127.00 d)* For 48 hours: This is 24 hours + 24 hours. Number of 12-hour blocks thereafter = (48 - 24)/(12) = (24)/(12) = 2. P(48) = R85.00 + (2 × R42.00) = R85.00 + R84.00 = R169.00 The completed table is: | (H) Number of hours | 12 hours | 24 hours | 36 hours | 48 hours | |---------------------|----------|----------|----------|----------| | (P) Cost of parking | R85.00 | R85.00 | R127.00 | R169.00 | Step 2: Calculate the cost of parking at P6 for 26 hours (Question 1.2). First 24 hours: R85.00 Remaining hours: 26 - 24 = 2 hours. Since the rate is "per 12 hours or part thereof", 2 hours counts as one 12-hour block. Number of 12-hour blocks thereafter = (2)/(12) = 1. Cost = R85.00 + (1 × R42.00) = R85.00 + R42.00 = R127.00 The cost of parking at P6 for 26 hours is R127.00. Step 3: Answer questions about Parkade P7 (Questions 2.1 - 2.6). 2.1 How many hours are there in 3 full days? 3 days × 24 hours/day = 72 hours There are 72 hours in 3 full days. 2.2 How much are you paying for the first 24 hours at P7? According to the P7 table, the cost for 8-24 hours is R270.00. You are paying R270.00 for the first 24 hours at P7. 2.3 How many 12 hours are there in 2 full days? First, calculate total hours: 2 days × 24 hours/day = 48 hours. Then, divide by 12 hours: 48 hours12 hours/block = 4 blocks. There are 4 blocks of 12 hours in 2 full days. 2.4 What price will you pay for every 12 hours after the first 24 hours (at P7)? From the P7 notes, it states: "Thereafter R135.00 per 12 hours or part thereof." You will pay R135.00 for every 12 hours after the first 24 hours. 2.5 Calculate the cost of parking for 3 full days at P6 and P7. 3 full days = 72 hours. Cost for P6 (72 hours): First 24 hours: R85.00 Remaining hours: 72 - 24 = 48 hours. Number of 12-hour blocks thereafter = (48)/(12) = 4. Cost P6 = R85.00 + (4 × R42.00) = R85.00 +