Question

math homework
the line plot shows the time 10 students spent on math homework last night. what is the total time spent on homework by all of the students who spent two - fourths hour on homework?
a $1\frac{1}{4}$ hours
b 1 hour

Explanation:

Step1: Count x's per time

• At $\frac{1}{4}$: 3 x's. Time: $3\times\frac{1}{4}=\frac{3}{4}$
• At $\frac{2}{4}$: 2 x's. Time: $2\times\frac{2}{4}=\frac{4}{4}=1$
• At $\frac{3}{4}$: 4 x's. Time: $4\times\frac{3}{4}=3$
• At $1$: 1 x. Time: $1\times1 = 1$

Step2: Sum all times

Total = $\frac{3}{4}+1 + 3+1=\frac{3}{4}+5=\frac{3 + 20}{4}=\frac{23}{4}=5\frac{3}{4}$? Wait, no, wait the question: Wait, the original question (maybe typo? Wait the user's image: Wait, the line plot: let's re - check. Wait, the line plot:

• $\frac{1}{4}$: 3 x's (3 students)
• $\frac{2}{4}$: 2 x's (2 students)
• $\frac{3}{4}$: 4 x's (4 students)
• $1$: 1 x (1 student)

Wait, total students: 3 + 2+4 + 1=10, correct. Now, the question: "What is the total time spent on homework by all of the students who spent two - fourths hour on homework?" Wait, no, maybe the question is "What is the total time spent on homework by all 10 students?" Wait, the options: A is $1\frac{1}{4}$, B is 1. Wait, maybe I misread. Wait, the line plot:
Wait, $\frac{1}{4}$: 3 x's, so time from $\frac{1}{4}$: $3\times\frac{1}{4}=\frac{3}{4}$
$\frac{2}{4}$: 2 x's, time: $2\times\frac{2}{4}=\frac{4}{4}=1$? No, wait $\frac{2}{4}=\frac{1}{2}$, 2 students: $2\times\frac{1}{2}=1$? No, $\frac{2}{4}$ per student, 2 students: $2\times\frac{2}{4}=\frac{4}{4}=1$? Wait, no, $\frac{2}{4}=\frac{1}{2}$, so 2 students: $2\times\frac{1}{2}=1$ hour? Wait, no, $\frac{2}{4}$ hour per student, 2 students: $2\times\frac{2}{4}=\frac{4}{4}=1$ hour.
$\frac{3}{4}$: 4 students: $4\times\frac{3}{4}=3$ hours
$1$: 1 student: $1\times1 = 1$ hour
Total: $\frac{3}{4}+1 + 3+1=\frac{3}{4}+5=\frac{23}{4}=5\frac{3}{4}$, which is not in options. So maybe the question is "What is the total time spent by students who spent $\frac{2}{4}$ hour?" Wait, $\frac{2}{4}$ hour, 2 students: $2\times\frac{2}{4}=\frac{4}{4}=1$ hour. So option B is 1 hour.

Answer:

B. 1 hour