1. **State the problem:** We need to find the mass of fuel required for the model rocket to reach a height of 20 meters.
2. **Analyze the graph:** The graph shows a linear relationship between the mass of fuel ($x$) and the height reached ($y$). The line passes through the origin $(0,0)$ and approximately $(30,55)$.
3. **Write the equation of the line:** Since the line passes through the origin, the equation is of the form $$y = mx$$ where $m$ is the slope.
4. **Calculate the slope $m$:**
$$m = \frac{\text{change in } y}{\text{change in } x} = \frac{55 - 0}{30 - 0} = \frac{55}{30} = \frac{11}{6}$$
5. **Write the equation with the slope:**
$$y = \frac{11}{6}x$$
6. **Find the mass of fuel for $y=20$ meters:**
$$20 = \frac{11}{6}x$$
7. **Solve for $x$:**
$$x = \frac{20}{\frac{11}{6}} = 20 \times \frac{6}{11} = \frac{120}{11}$$
8. **Simplify the fraction:**
$$x = \frac{120}{11} \approx 10.91$$
**Answer:** Approximately 10.91 units of fuel must be put into the rocket to reach a height of 20 meters.
Fuel Height 2B1923
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