Question

On a coordinate plane, the x-axis is labeled white flowers and the y-axis is labeled Pink flowers. Point A is (2, 6), point B is (12, 18), point C is (12, 12), and point D is (18, 12). Which point on the graph could represent the ratio of 2 white flowers for every 3 pink flowers that will be in one row of Molly’s garden? Write the letter of the point.

Answer 1

To find the point that represents the ratio of 2 white flowers for every 3 pink flowers that will be in one row of Molly’s garden, we need to find the point that is 2/5 of the way from point A to point B. We can do this by finding the difference between the x-coordinates and y-coordinates of points A and B and multiplying them by 2/5. Then we add these values to the x-coordinate and y-coordinate of point A to get the coordinates of the point we are looking for.

The difference between the x-coordinates of points A and B is 12 - 2 = 10. Multiplying this by 2/5 gives us 4. The difference between the y-coordinates of points A and B is 18 - 6 = 12. Multiplying this by 2/5 gives us 4. Therefore, we add 4 to the x-coordinate of point A (which is 2) to get 6, and we add 4 to the y-coordinate of point A (which is 6) to get 10. So the point that represents the ratio of 2 white flowers for every 3 pink flowers that will be in one row of Molly’s garden is (6,10).

None of the given points match these coordinates, so there is no letter that represents this point.

I hope this helps!.