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.
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Exercise 4 First, we complete the missing values in the table for "Number of minutes" and "Number of calls" using the relationship: Number of minutes = Length of call × Number of calls. For 5-minute calls: Number of minutes = 5 minutes/call × 30 calls = 150 minutes. For 6-minute calls: Number of calls = 60 minutes / 6 minutes/call = 10 calls. The completed relevant parts of the table are: Length of call (minutes): 3, 4, 5, 6, 7 Number of calls: 40, 18, 30, 10, 50 Number of minutes: 120, 72, 150, 60, 350 a) Calculate the total number of minutes that John used his landline for outgoing calls. Step 1: Sum the "Number of minutes" from the table. Total minutes = 120 + 72 + 150 + 60 + 350 Total minutes = 752 minutes The total number of minutes John used is 752 minutes. b) Calculate the cost of the calls John made. The cost of calls is R0,40 per minute. Step 1: Multiply the total minutes by the cost per minute. Cost of calls = 752 minutes × R0,40/minute Cost of calls = R300,80 The cost of the calls John made is R300,80. c) Calculate the total landline bill for the month, including rental. Step 1: Add the cost of calls to the monthly rental. Total bill = Cost of calls + Monthly rental Total bill = R300,80 + R165 Total bill = R465,80 The total landline bill for the month is R465,80. Exercise 5 a) What was the average rate at which the bread price increased from 2001 to 2008? Give your answer in cents per year. Step 1: Calculate the price increase from 2001 to 2008. Price increase = Price in 2008 - Price in 2001 Price increase = R6,70 - R3,30 Price increase = R3,40 Step 2: Calculate the number of years between 2001 and 2008. Number of years = 2008 - 2001 Number of years = 7 years Step 3: Calculate the average rate of increase in Rands per year. Average rate (R/year) = Price increaseNumber of years Average rate (R/year) = R3,407 years Average rate (R/year) ≈ R0,4857 per year Step 4: Convert the average rate from Rands per year to cents per year (1 Rand = 100 cents). Average rate (cents/year) = R0,4857 × 100 cents/Rand Average rate (cents/year) ≈ 48,57 cents per year The average rate at which the bread price increased from 2001 to 2008 is approximately 48,57 cents per year. Send me the next one 📸