ACTIVITY 2 DIRECT PROPORTION STARTING ON Y-AXIS Sipho is planning a birthday party and is looking for a venue to hold the party. A local sports club charge R 500,00 per evening for the venue and R 50,00 per person. The maximum number of persons that can be accommodated is 50 . 1. How much will Sipho pay if: \( \begin{array}{ll}1.1 & 5 \text { people attend? } \\ 1.2 & 10 \text { people attend? } \\ \begin{array}{ll}1.3 & 15 \text { people attend? } \\ 1.4 & 20 \text { people attend? } \\ 1.5 & 50 \text { people attend? }\end{array}\end{array} . \begin{array}{l}\text { 1. }\end{array} \)

To determine how much Sipho will pay for the venue based on the number of attendees, we can break down the total cost into two components: 1. **Fixed cost for the venue**: R 500.00 2. **Variable cost per person**: R 50.00 per person The total cost \( C \) can be calculated using the formula: \[ C = \text{Fixed cost} + (\text{Cost per person} \times \text{Number of people}) \] Where: - Fixed cost = R 500.00 - Cost per person = R 50.00 - Number of people = \( n \) Now, let's calculate the total cost for each scenario: ### 1.1 For 5 people: \[ C = 500 + (50 \times 5) \] ### 1.2 For 10 people: \[ C = 500 + (50 \times 10) \] ### 1.3 For 15 people: \[ C = 500 + (50 \times 15) \] ### 1.4 For 20 people: \[ C = 500 + (50 \times 20) \] ### 1.5 For 50 people: \[ C = 500 + (50 \times 50) \] Now, let's perform the calculations for each case. I'll calculate these values step by step. 1. **For 5 people**: \[ C = 500 + (50 \times 5) = 500 + 250 = 750 \] 2. **For 10 people**: \[ C = 500 + (50 \times 10) = 500 + 500 = 1000 \] 3. **For 15 people**: \[ C = 500 + (50 \times 15) = 500 + 750 = 1250 \] 4. **For 20 people**: \[ C = 500 + (50 \times 20) = 500 + 1000 = 1500 \] 5. **For 50 people**: \[ C = 500 + (50 \times 50) = 500 + 2500 = 3000 \] ### Summary of Costs: - **1.1**: R 750.00 for 5 people - **1.2**: R 1000.00 for 10 people - **1.3**: R 1250.00 for 15 people - **1.4**: R 1500.00 for 20 people - **1.5**: R 3000.00 for 50 people These calculations show how the total cost increases with the number of attendees.