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After 5 minutes, Sandeep has shelled 2 pounds of peas. Write the equation for the relationship between \( x \) and \( y \).

\( y = \) ____

Answer :

[tex]\( y = \frac{2x}{5} \)[/tex] represents the relationship between time (x) in minutes and the amount of shelled peas (y) in pounds.

To establish the relationship between time (x) and the amount of shelled peas (y), considering that Sandeep shells 2 pounds of peas in 5 minutes, we can set up a proportional equation.

Let x represent the time in minutes, and y represent the amount of shelled peas in pounds. Since Sandeep shells 2 pounds of peas in 5 minutes, we can express this as a rate or ratio:

[tex]\( \frac{2 \text{ pounds}}{5 \text{ minutes}}[/tex] = [tex]\frac{y \text{ pounds}}{x \text{ minutes}} \).[/tex]

Now, we can solve for y, the amount of shelled peas in pounds (y):

[tex]\( y = \frac{2x}{5} \).[/tex]

This equation establishes the relationship between time (x) in minutes and the amount of shelled peas (y) in pounds. For any given time (x), you can calculate the corresponding amount of shelled peas (y) using this equation.

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