Mathematical Literacy Level 4 Module 10

Mathematical Literacy NQF 4 Downloaded from hlayiso.com Mathematics NQF Level 4

Tariffs Module 10 Downloaded from hlayiso.com Mathematics NQF Level 4

Overview 10.1 Telecommunication tariffs 10.2 Transport tariffs 10.3 Municipal tariffs 10.4 Tariffs for renting equipment of premises 10.5 Bank fees Downloaded from hlayiso.com Mathematics NQF Level 4

Telecommunication tariffs Unit 10.1 There are tariffs for: Different Calls at bundles of different data Different times types of calls • Study the individual tariffs carefully before completing questions. Downloaded from hlayiso.com Mathematics NQF Level 4

Example 10.2 page 198 Unit 10.1 Study the tariffs for a VoIP system (Voice over Internet Protocol) 1. Calculate the cost of rental if a business needs 40 telephones. Downloaded from hlayiso.com Mathematics NQF Level 4

Example 10.2 page 198 Unit 10.1 2. The schedule below shows the calls made by 3 employees in one day. Each entry has the average seconds per call in brackets. a) Calculate the total cost to the business for the calls of Employee 2. b) Compare the cost of calls for Employee 1 and Employee 3. Downloaded from hlayiso.com Mathematics NQF Level 4

Example 10.2 page 198 continued … Unit 10.1 2. a) On-network calls: 10 calls × R0 = R0 Landline calls: 6 calls × 20 secs = 120 secs 120 ÷ 60 = 2 mins 2 min × R0,26 = R0,52 Mobile calls: 12 calls × 200 secs = 2 400 secs 2 400 ÷ 60 = 40 mins 40 min × R0,54 = R21,60 Total cost = R22,12 Downloaded from hlayiso.com Mathematics NQF Level 4

Example 10.2 page 198 continued … Unit 10.1 2. b) Employee 1 Employee 3 Landline calls: 14 calls × 40 secs = 560 secs; On-network calls: 15 calls × R0 = R0 560 ÷ 60 = 9,33 mins; 10 min × R0,26 = R2,60 Mobile calls: 6 calls × 110 secs = 660 secs; Landline calls: 2 calls × 38 secs = 76 secs; 660 ÷ 60 = 11 mins; 76 ÷ 60 = 1,27 mins; 11 min × R0,54 = R5,94 2 min × R0,26 = R0,52 Total cost = R8,54 Mobile calls: 3 calls × 84 secs = 252 secs; 252 ÷ 60 = 4,2 mins; 5 min × R0,54 = R2,70 Off-peak calls: 4 calls × 90 secs = 360 secs; 360 ÷ 60 = 6 mins; Employee 1 spends R3,34 more on 6 min × R0,33 = R1,98 calls for the day. 0 Total cost = R5,20 Downloaded from hlayiso.com Mathematics NQF Level 4

Example 10.2 page 198 continued … Unit 10.1 3. In an average month, the business makes 790 on-network calls (48 secs), 530 landline calls (107 secs), 1 015 mobile calls (74 secs) and 90 off-peak calls (133 secs). Calculate the total monthly bill for the company. Include the 40 number rentals in your calculation. Downloaded from hlayiso.com Mathematics NQF Level 4

Example 10.2 page 198 continued … Unit 10.1 Business calls for the month 3. On-network calls: 790 calls × R0 = R0 Landline calls: 530 calls × 107 secs = 56 710 secs; 56 710 ÷ 60 = 945,17 mins; 946 min × R0,26 = R245,96 Mobile calls: 1 015 calls × 74 secs = 75 110 secs; 75 110 ÷ 60 = 1 251,83 mins; 1 252 min × R0,54 = R676,08 Off-peak calls: 90 calls × 133 secs = 11 970 secs; 11 970 ÷ 60 = 199,5 mins; 200 min × R0,33 = R66 Total cost: Rental cost + cost of calls = R1000 + R66 = R1 066 Downloaded from hlayiso.com Mathematics NQF Level 4

Exercise 10.1 Module 10.1 Complete Exercise 10.1 on page 192 of your Student’s Book Downloaded from hlayiso.com Mathematics NQF Level 4

Transport tariffs Unit 10.2 There are tariffs for: • Transport of goods, depending on the size of the truck, the size of the load and the distance travelled • Toll roads • Train and bus trips The next slide shows a map with toll roads marked around Johannesburg. Look for the gantries too. Definition What is a gantry? An overhead structure where a specific fee is charged. Downloaded from hlayiso.com Mathematics NQF Level 4 ”

Transport tariffs Downloaded from hlayiso.com Mathematics NQF Level 4

Comparing transport tariffs There are transport tariffs that affect all people who travel to work by public transport. We can compare the fares for different forms of transport using a graph. How to draw a straight line graph Step 1. Prepare the horizontal and vertical axis Downloaded from hlayiso.com Mathematics NQF Level 4

Comparing transport tariffs There are transport tariffs that affect all people who travel to work by public transport. We can compare the fares for different forms of transport using a graph. How to draw a straight line graph 720 700 Step 2. Graph 1 (1:394) From your table, choose 600 (20:394) 2 sets of data. 500 In the example, (1; 394) Graph 2 400 and (20; 394) are points (1:36) 394 on one graph. 300 (20:720) (1; 36) and (20; 720) are 200 points on the other graph. 36 100 1 5 10 15 20 25 Downloaded from hlayiso.com Mathematics NQF Level 4

Comparing transport tariffs There are transport tariffs that affect all people who travel to work by public transport. We can compare the fares for different forms of transport using a graph How to draw a straight line graph 720 700 Graph 1 (1:394) Step 3. 600 (20:394) 500 Join the points Graph 2 to draw the 394 400 (1:36) graphs 300 (20:720) 200 36 100 1 5 10 15 20 25 Downloaded from hlayiso.com Mathematics NQF Level 4

Comparing transport tariffs There are transport tariffs that affect all people who travel to work by public transport. We can compare the fares for different forms of transport using a graph How to draw a straight line graph 700 Graph 1 (1:394) Step 4. 600 (20:394) 500 Label your axis Cost (R) Graph 2 400 (1:36) 300 (20:720) 200 100 5 10 15 20 25 Days Downloaded from hlayiso.com Mathematics NQF Level 4

Example 10.5 page 204 • Here is a graph of daily costs of bus fare and weekly costs of a train ticket. Discussion Discuss why the blue graph is higher than the red graph, for most of the days. Downloaded from hlayiso.com Mathematics NQF Level 4

Exercise 10.2 Module 10.2 Complete Exercise 10.2 on page 206 of your Student’s Book Downloaded from hlayiso.com Mathematics NQF Level 4

Municipal tariffs Unit 10.3 There are tariffs for residential and business services: • Refuse (solid waste) removal • Sewage disposal • Water supply • Electricity supply Always check the service to be provided and the rate or tariff. Note whether VAT is included or not. Be aware that municipal tariffs are often tiered. Definition What is a tiered tariff? Different tariffs for different levels of water or electricity usage. Downloaded from hlayiso.com Mathematics NQF Level 4 ”

Municipal tariffs Unit 10.3 Downloaded from hlayiso.com Mathematics NQF Level 4

Exercise 10.3 Module 10.3 Complete Exercise 10.3 on page 209 of your Student’s Book Downloaded from hlayiso.com Mathematics NQF Level 4

Renting equipment or premises Unit 10.4 Equipment Are items needed for a purpose, like computers, carpet cleaners or electrical tools. Premises A building to use for a business or club. ” Lease A rental contract. ” Leasing has several advantages: • Fixed costs ” • Maintenance plan • Replacement of old equipment • Flexible lease time periods Downloaded from hlayiso.com Mathematics NQF Level 4

Example 10.7 page 210 Unit 10.4 A supermarket chain must replace two photocopiers. They have two options: • Purchase the machines at a cost of R40 000 each. • Lease the equipment on a 24-month agreement at a cost of R825 per month per machine. The agreement includes a full maintenance plan and training for staff. Downloaded from hlayiso.com Mathematics NQF Level 4

Example 10.7 page 210 continued … Unit 10.4 1. Calculate the cost of the lease of two machines for 24 months. 2. Is there an advantage to the company when leasing the machines rather than buying them? Explain. 3. Is there a disadvantage for the company? 4. What is the advantage to the company that leases the machines? Downloaded from hlayiso.com Mathematics NQF Level 4

Example 10.7 page 210 continued … Unit 10.4 1. 2 machines × R825 × 24 months = R39 600 2. Yes. The cost of leasing the equipment for 2 years is less than the cost of one machine. If the equipment breaks, the company is protected by the maintenance plan. Technicians will fix the problem at no extra charge. 3. Yes. They will not own the equipment. It belongs to the company leasing the equipment. At the end of 24 months, the equipment will be removed unless the company signs a new agreement. 4. They can lease the same machine to a different company at the end of the lease agreement. If they maintain the equipment carefully, they can lease the equipment for many years. Downloaded from hlayiso.com Mathematics NQF Level 4

Exercise 10.4 Module 10.4 Complete Exercise 10.4 on page 211 of your Student’s Book Downloaded from hlayiso.com Mathematics NQF Level 4

Bank fees Unit 10.5 • All banks charge fees for their services • Most fees are for depositing and withdrawing cash, especially on a business account • Always compare the fees of different banks Downloaded from hlayiso.com Mathematics NQF Level 4

Example 10.8 page 212 Class activity Answer the questions, using the table below: 1. How much would it cost to withdraw R5 400 from Bank A’s ATM? 2. What is the fee for depositing R23 742, 80 at Bank B’s branch? Transaction Bank A Bank B Monthly fee R57 R65 Cash withdrawal (own R3,95 + R1,35 / 100 R1,80 per R100 bank’s ATM) Cash withdrawal R9,95 + R1,35 / 100 R6,70 + R1,80 per (another bank’s ATM) R100 Cash withdrawal at R9,95 + R1,35 / 100 R25 + R1,80 per 100 branch Cash deposit (own R3,95 + R1,35 / 100 R1,80 per R100 ATM) Cash deposit at branch R24,00 + 1,45 / 100 R29 + R1,80 / 100 Downloaded from hlayiso.com Mathematics NQF Level 4

Example 10.8 page 212 Unit 10.5 The graph compares the cost of withdrawing cash at Bank A’s own ATMs and Bank B own ATMs c) Estimate the coordinates of the point of intersection. d) What does the point of intersection represent? e) Which bank has cheaper fees for the withdrawal of R700? f) Big businesses generally withdraw large sums of money. Which bank has the best option for this purpose? Downloaded from hlayiso.com Mathematics NQF Level 4

Example 10.8 page 212 Unit 10.5 c) (800:15). Note, this is an estimation. d) This is the point at which both banks have the same fee. e) Bank B. The blue graph is below the red graph. f) Bank B Downloaded from hlayiso.com Mathematics NQF Level 4

Bank Fees Unit 10.5 Downloaded from hlayiso.com Mathematics NQF Level 4

Exercise 10.5 Module 10.5 Complete Exercise 10.5 on page 214 of your Student’s Book Downloaded from hlayiso.com Mathematics NQF Level 4

Module assessment Module 10 Complete Module assessment on page 215 of your Student’s Book Downloaded from hlayiso.com Mathematics NQF Level 4

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