Question

Three points, A, B, and C, are plotted on the graph from left to right. If the distance between B and C is thrice the distance between A and B, then find the plot that correctly plots all the three points.

• A. Plot 4
• B. Plot 2
• C. Plot 1
• D. Plot 3

Answer 1

The correct option is D Plot 3

Examining the distance between the points for each plot, we find:

$Plot1:$


$\text{Distance from A to B}=\text{2 units}$

$\text{Distance from B to C}=\text{2 units}$

$\therefore \text{Distance from B to C}=\text{Distance from A to B}$

$Plot2:$


$\text{Distance from A to B}=\text{1 unit}$

$\text{Distance from B to C}=\text{2 units}$

$\therefore \text{Distance from B to C}=2\times \text{Distance from A to B}$

$Plot3:$


$\text{Distance from A to B}=\text{1 unit}$

$\text{Distance from B to C}=\text{3 units}$

$\therefore \text{Distance from B to C}=3\times \text{Distance from A to B}$

$Plot4:$


$\text{Distance from A to B}=\text{3 units}$

$\text{Distance from B to C}=\text{1 unit}$

$\therefore \text{Distance from B to C}=\frac{1}{3}\times \text{Distance from A to B}$

Hence, the plot that correctly plots all three points is Plot 3.