Question

The distance from Ray’s house to his school is divided into 8 parts as shown on the given graph. The graph shows the number of friends who live at different distances from the house. Which of the following statements is correct?

• A. 2 friends live at $\frac{3}{4}$ of the distance from the house.
  
• B. 10 friends live between the house and the school.
  
• C. 2 friends live at $\frac{5}{8}$ of the distance from the house.
  
• D. 2 friends live at $\frac{1}{4}$ of the distance from the house.
  

Answer 1

The correct option is A 2 friends live at $\frac{3}{4}$ of the distance from the house.


We can observe the graph to find the number of friends living at a particular distance.

Number of friends living at a particular distance from the house	2	0	3	4	1	2	6	0
Fraction of the distance from the house to the school	$\frac{1}{8}$	$\frac{2}{8}$	$\frac{3}{8}$	$\frac{4}{8}$	$\frac{5}{8}$	$\frac{6}{8}$	$\frac{7}{8}$	$\frac{8}{8}$

Let’s go through the options.
Option a:
18 friends live between the house and the school. So, option a is incorrect.

Option b:
Only 1 friend lives at a distance of $\frac{5}{8}$ of the total distance from the house. So, option b is incorrect.

Option c:
No friend lives at a distance of
$\frac{1}{4}=\frac{2}{8}$ of the total distance from the house. So, option c is incorrect.

Option d:
2 friends live at a distance of $\frac{3}{4}=\frac{6}{8}$ of the total distance from the house. So, option d is correct.