Answer :

Answer:

  C = 16

Step-by-step explanation:

Given point M=2 and J=18 on a number line, you want the coordinate of point C that is 7/8 of the distance from M to J.

Distance

The distance from M to J is the difference of their coordinates:

  J -M = 18 -2 = 16

7/8 of that distance is ...

  (7/8)(16) = 7(16/8) = 7(2) = 14

You are being asked for the coordinate of the point that is 14 units from M in the direction of J.

Point

To find the coordinate of C, we add the desired distance to the coordinate of M:

  C = M +14

  C = 2 +14 = 16

The coordinate of point C is 16.