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 $$ 60,00 imes $$ No. of sail hoats 1.2 .1 . Determine the equation for his Income. 1.2 .2 . Complete the table below for the income received.

Question

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 $$ 60,00 	imes $$ No. of sail hoats 1.2 .1 . Determine the equation for his Income. 1.2 .2 . Complete the table below for the income received.

UpStudy AI · Accepted Answer

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.
**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 |

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