Which equation gives the rule for this table?

Understand the Problem

The question asks to identify the equation that defines the relationship between x and y, as represented in the table. We need to test each equation by plugging in the x values from the table and checking if it produces the corresponding y values.

Answer

$y = 17x$

Steps to Solve

Test the first equation $y = 17x$ with $x = 0$

Substitute $x = 0$ into the equation. $y = 17 * 0 = 0$ This matches the table entry.

Test the first equation $y = 17x$ with $x = 1$

Substitute $x = 1$ into the equation. $y = 17 * 1 = 17$ This matches the table entry.

Test the first equation $y = 17x$ with $x = 2$

Substitute $x = 2$ into the equation. $y = 17 * 2 = 34$ This matches the table entry.

Test the first equation $y = 17x$ with $x = 3$

Substitute $x = 3$ into the equation. $y = 17 * 3 = 51$ This matches the table entry.

Conclusion

Since the equation $y = 17x$ matches all the entries in the table, it is the correct equation.

$y = 17x$

More Information

The equation $y = 17x$ represents a direct proportional relationship between $x$ and $y$, where $17$ is the constant of proportionality.

Tips

A common mistake would be to assume the correct equation after verifying only one or two points. It's important to verify all the points provided in the table to ensure the equation holds true for all given values.

AI-generated content may contain errors. Please verify critical information

Thank you for voting!