Math Problem Statement

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

Solution

The problem asks to describe the relationship between xx and yy using a formula, and provides a table with values of xx and yy:

\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.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

y = kx (Linear relationship formula)

Theorems

Linear Proportionality

Suitable Grade Level

Grades 6-8