Points A (2) and B (10) are marked on the numerical ray. Find the coordinate of point C

Points A (2) and B (10) are marked on the numerical ray. Find the coordinate of point C located on the segment AB, if it is known that AC: CB = 3: 1.

Let’s find what is the distance between points A and B. To do this, from the coordinate of the point that lies to the right on the ray, we subtract the coordinate of the point to the left:

10 – 2 = 8.

If it is known that point C is inside the segment AB and the ratio of the resulting segments is 3 to 1, then the total will be conditionally 3 + 1 = 4 parts, respectively, one part has a length equal to:

8/4 = 2.

Those. AC = 2 * 3 = 6.

If point A has a coordinate equal to 2, then point C has a coordinate equal to: 6 + 2 = 8.

Answer: C (8).