Shawn created two patterns. pattern X increases by 4 each time. Pattern Y increases by 3 each time. shawn used the corresponding values in each pattern to make coordinate pairs. He graphed the coordinate pairs on a coordinate plane.
What would be the y-coordinate for the given x-coordinate?
To determine the y-coordinate for a given x-coordinate in each pattern, we need to follow the pattern rule.
For Pattern X increasing by 4 each time:
- If the x-coordinate is 1, the y-coordinate would be 4.
- If the x-coordinate is 2, the y-coordinate would be 8.
- If the x-coordinate is 3, the y-coordinate would be 12.
- If the x-coordinate is 4, the y-coordinate would be 16.
For Pattern Y increasing by 3 each time:
- If the x-coordinate is 1, the y-coordinate would be 3.
- If the x-coordinate is 2, the y-coordinate would be 6.
- If the x-coordinate is 3, the y-coordinate would be 9.
- If the x-coordinate is 4, the y-coordinate would be 12.
So, the y-coordinate for the given x-coordinate would be:
- For Pattern X: y = 4x
- For Pattern Y: y = 3x
You can calculate the specific y-coordinate for any given x-coordinate using these formulas.