Calculate the price in cents per gram for each packet of apples. Identify the option that gives the best value for money. Explain why prices do not always increase proportionally as quantity increases.

Step 1: Calculate the price per gram for the 1 kg packet. Given: 1 kg = R25 Convert kilograms to grams: 1 kg = 1000 g Convert Rands to cents: 25 R = 25 × 100 cents = 2500 cents Price per gram for 1 kg packet: 2500 cents1000 g = 2.5 cents/g Step 2: Calculate the price per gram for the 2 kg packet. Given: 2 kg = R40 Convert kilograms to grams: 2 kg = 2000 g Convert Rands to cents: 40 R = 40 × 100 cents = 4000 cents Price per gram for 2 kg packet: 4000 cents2000 g = 2 cents/g Step 3: Calculate the price per gram for the 5 kg packet. Given: 5 kg = R100 Convert kilograms to grams: 5 kg = 5000 g Convert Rands to cents: 100 R = 100 × 100 cents = 10000 cents Price per gram for 5 kg packet: 10000 cents5000 g = 2 cents/g Step 4: Answer 1.1. • 1 kg packet: 2.5 cents/g • 2 kg packet: 2 cents/g • 5 kg packet: 2 cents/g Step 5: Answer 1.2 by identifying the best value for money. The best value for money is the option with the lowest price per gram. Both the 2 kg packet and the 5 kg packet offer the lowest price of 2 cents/g. The options that give the best value for money are the 2 kg packet and the 5 kg packet. Step 6: Answer 1.3 by explaining why prices do not always increase proportionally as quantity increases. Prices do not always increase proportionally with quantity due to economies of scale and marketing strategies. Supermarkets often offer bulk discounts to encourage customers to buy larger quantities, which can reduce packaging, handling, and administrative costs per unit for the seller. This allows them to sell larger packets at a lower price per unit (e.g., per gram) while still maintaining profitability.