Question

example 1 locate a point at a fractional distance check find x on $overline{be}$ that is $\frac{3}{5}$ of the distance from b to e. a. 2 b. 3 c. 5 d. 6

Explanation:

Step1: Find the distance between B and E

The coordinate of B is 0 and the coordinate of E is 9. The distance $d=9 - 0=9$.

Step2: Calculate $\frac{3}{5}$ of the distance

We want to find $\frac{3}{5}$ of 9. So we calculate $\frac{3}{5}\times9=\frac{27}{5} = 5.4$. Since we are dealing with integer - like positions on the number - line and we assume we are rounding to the nearest whole number in the context of this discrete number - line problem, and also considering the nature of the problem, we start from B (0) and move $\frac{3}{5}$ of the way to E. Starting from 0 and moving 5 units gives us a position of 5.

Answer:

C. 5