Question

on a number line, point a is located at 4, point c is located at 11, and point b lies between points a and c. what is the location of b such that the ratio of ab:bc is 2:3?
8.2
6.8
5.9
5.6

Explanation:

Step1: Find the distance between A and C

$11 - 4=7$

Step2: Divide the distance according to the ratio

The ratio of $AB:BC$ is $2:3$, so the total number of parts is $2 + 3=5$. The length of $AB$ is $\frac{2}{5}\times7 = 2.8$.

Step3: Calculate the location of B

Since point A is at 4, the location of B is $4+2.8 = 6.8$.

Answer:

6.8