https://file.aiquickdraw.com/mathbot/file/1728473686927ndk06k7p.jpg

Let's go through each part of the image you provided. The graph shows the relationship between the amount of paint used (in deciliters, dl) and the painted surface area (in square meters, m²). The slope of the line shows how much area can be painted per dl of paint.

Here’s how to solve each question:

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**Question a:** 
*Hoeveel verf is er verbruikt na het schilderen van 6 m²?*  
- From the graph, for 6 m² of painted surface area, we look up the corresponding amount of paint used on the x-axis.
- The graph shows that 6 m² corresponds to 3 dl of paint.

**Answer:** 3 dl of paint is used to paint 6 m².

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**Question b:**  
*Hoe groot is de oppervlakte die nog geschilderd kan worden als er nog 1,5 dl verf over is?*  
- From the graph, you can see that 1 dl of paint covers 2 m².
- If you have 1.5 dl of paint left, the surface that can still be painted is:
  \[
  1.5 \, \text{dl} \times 2 \, \frac{m^2}{\text{dl}} = 3 \, m²
  \]

**Answer:** You can still paint 3 m² with 1.5 dl of paint.

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**Question c:**  
*Stel de formule voor dit verband op.*  
- The relationship between paint usage and surface area is linear. Based on the graph, 1 dl of paint covers 2 m². So, the formula that links the surface area \( A \) (in m²) to the amount of paint \( V \) (in dl) is:
  \[
  A = 2V
  \]
  where \( A \) is the surface area and \( V \) is the volume of paint used.

**Answer:** The formula is \( A = 2V \).

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**Question d:**  
*Bereken met deze formule hoe groot de oppervlakte is die we kunnen verven met 13,5 dl verf.*  
- Using the formula \( A = 2V \), substitute \( V = 13.5 \, \text{dl} \):
  \[
  A = 2 \times 13.5 = 27 \, m²
  \]

**Answer:** You can paint 27 m² with 13.5 dl of paint.

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Would you like more details or have any questions about these calculations?

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Here are 5 follow-up questions:

1. What is the unit rate of paint usage (m² per dl) based on the graph?
2. How much paint would be needed to cover 10 m²?
3. If you had 5 dl of paint, how much surface could you paint?
4. Can you calculate how much paint is left if 4 m² are painted and the total paint amount was initially 7.5 dl?
5. How would the graph change if 1 dl of paint could cover 3 m² instead of 2 m²?

**Tip:** In any linear relationship, the slope represents the rate of change. In this case, it's the amount of surface area painted per unit of paint used!

In Figure 5, the relationship between the painted surface area (in m²) and the amount of paint used (in deciliters, dl) is shown. The problem asks about how much paint is used, how much area can still be painted, deriving a formula for the relationship, and using the formula to solve for a specific amount of paint.

Learn how to solve a linear relationship problem involving paint usage and surface area. This problem includes calculating how much paint is used for a given surface area, deriving a formula, and applying it to solve for different paint quantities.

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