Pregunta
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Gary's hobby is to make models of 5 mall sailing boats. He decides to make some to sell. His fixed cost is R2 000,00 and each sailboat costs him R 60,00 to make. They are time consuming to make, so he sells them for R150,00 each. The equation for his expenses is: Cost \( = \) R2000,00 \( +( \) R \( 60,00 \times \) No. of sail hoats 1.2 .1 . Determine the equation for his Income. 1.2 .2 . Complete the table below for the income received.

Ask by Hammond Mcdonald. in South Africa
Jan 28,2025

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**Income Equation:** \[ \text{Income} = 150 \times x \] **Income Table:** | Number of Sailboats Sold (x) | Income (R) | |-------------------------------|------------| | 0 | 0 | | 1 | 150 | | 2 | 300 | | 3 | 450 | | 4 | 600 | | 5 | 750 |

Solución

To solve the problem, let's break it down step by step. ### 1.2.1. Determine the equation for his Income. **Known Conditions:** - Selling price per sailboat = R150.00 - Let \( x \) be the number of sailboats sold. **Income Equation:** The income from selling \( x \) sailboats can be expressed as: \[ \text{Income} = \text{Selling Price} \times \text{Number of Sailboats Sold} \] Substituting the known values: \[ \text{Income} = 150 \times x \] ### 1.2.2. Complete the table below for the income received. To complete the table, we need to calculate the income for different values of \( x \) (the number of sailboats sold). Let's assume we want to calculate the income for \( x = 0, 1, 2, 3, 4, 5 \). Now, we will calculate the income for each value of \( x \): - For \( x = 0 \): \[ \text{Income} = 150 \times 0 = 0 \] - For \( x = 1 \): \[ \text{Income} = 150 \times 1 = 150 \] - For \( x = 2 \): \[ \text{Income} = 150 \times 2 = 300 \] - For \( x = 3 \): \[ \text{Income} = 150 \times 3 = 450 \] - For \( x = 4 \): \[ \text{Income} = 150 \times 4 = 600 \] - For \( x = 5 \): \[ \text{Income} = 150 \times 5 = 750 \] ### Summary Table | Number of Sailboats Sold (x) | Income (R) | |-------------------------------|------------| | 0 | 0 | | 1 | 150 | | 2 | 300 | | 3 | 450 | | 4 | 600 | | 5 | 750 | This table shows the income received for selling different numbers of sailboats.

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Gary's income from selling his sailboats can be described with a straightforward equation based on the number he sells. If he sells each sailboat for R150,00, the equation for his income would be: Income \( = \) R \( 150,00 \times \) No. of sailboats sold. Now, let's fill out the table for his income. If he sells 0, 1, 2, 3, 4, or 5 sailboats, the income would be calculated as follows: - **0 sailboats:** R 150,00 × 0 = R 0,00 - **1 sailboat:** R 150,00 × 1 = R 150,00 - **2 sailboats:** R 150,00 × 2 = R 300,00 - **3 sailboats:** R 150,00 × 3 = R 450,00 - **4 sailboats:** R 150,00 × 4 = R 600,00 - **5 sailboats:** R 150,00 × 5 = R 750,00 Gary's venture into selling sailboat models turns into a sea of opportunity! Not only does he get to create, but he also has the potential to earn some pocket money. It’s all about balancing the love for crafting with the savvy of a business mindset! This scenario illustrates the classic principles of entrepreneurship, where the combination of creativity, understanding costs, and pricing can lead to financial success. Gary is sailing towards making his hobby profitable, and with each boat sold, he's one step closer to charting the waters of entrepreneurship!

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