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The problem asks to describe the relationship between \( x \) and \( y \) using a formula, and provides a table with values of \( x \) and \( y \):

\[
\begin{array}{|c|c|c|c|c|c|}
\hline
x & 0 & 50 & 100 & 150 & 200 \\
\hline
y & 0 & 90 & 180 & 270 & 360 \\
\hline
\end{array}
\]

Looking at the values, it seems that as \( x \) increases, \( y \) increases proportionally. This suggests a linear relationship between \( x \) and \( y \). To find the equation of the line \( y = kx \), we can calculate the constant ratio \( k \) using any two points from the table.

Let's compute \( k \) using \( x = 50 \) and \( y = 90 \):

\[
k = \frac{y}{x} = \frac{90}{50} = 1.8
\]

So, the relationship between \( x \) and \( y \) is:

\[
y = 1.8x
\]

Would you like more details or have any questions about this result?

Here are some related questions for further practice:

1. What is the slope of the line representing the relationship between \( x \) and \( y \)?
2. How would the equation change if the starting point was \( y = 10 \) when \( x = 0 \)?
3. Can you calculate \( y \) if \( x = 300 \) using the same equation?
4. How can you graph the relationship between \( x \) and \( y \)?
5. What would happen to the equation if the rate of increase between \( x \) and \( y \) doubled?

**Tip:** When trying to find a relationship from a table of values, check if the change in \( y \) is consistent with the change in \( x \). This indicates a linear relationship.

Beskriv sambandet mellan x och y med en formel. x = [0, 50, 100, 150, 200] och y = [0, 90, 180, 270, 360]

Learn how to describe the linear relationship between x and y using the formula y = 1.8x, based on the values x = [0, 50, 100, 150, 200] and y = [0, 90, 180, 270, 360]. This problem is suitable for students in Grades 6-8, focusing on algebra and proportionality.

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