1. The problem asks to find a formula that shows the relationship between the number of teaspoons of chocolate powder $y$ and the amount of milk $x$ in deciliters.
2. From the graph description, the relationship is linear, so we use the formula for a line:
$$y = mx + b$$
where $m$ is the slope and $b$ is the y-intercept.
3. Identify two points from the graph: $(1,0)$ and $(6,10)$.
4. Calculate the slope $m$:
$$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 0}{6 - 1} = \frac{10}{5} = 2$$
5. Since the line passes through $(1,0)$, substitute $x=1$, $y=0$ and $m=2$ into the line equation to find $b$:
$$0 = 2 \times 1 + b$$
$$b = 0 - 2 = -2$$
6. The formula is:
$$y = 2x - 2$$
7. This means for each deciliter of milk, you need 2 teaspoons of chocolate powder minus 2 teaspoons.
8. Check the formula with another point, for example $x=6$:
$$y = 2 \times 6 - 2 = 12 - 2 = 10$$
which matches the graph.
Final answer:
$$y = 2x - 2$$
Chocolate Milk Fd889C
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