Question

1. the line plot shows the amount of time this week, in hours, that alicia took to complete her math homework. how many total hours did she work on math homework?

Explanation:

Step1: Count hours at each mark

• At $\frac{1}{3}$: 2 instances, total = $2 \times \frac{1}{3} = \frac{2}{3}$
• At $\frac{2}{3}$: 3 instances, total = $3 \times \frac{2}{3} = 2$
• At the unlabeled mark between 0 and $\frac{1}{3}$: This is $\frac{1}{6}$ (since the interval from 0 to 1 is split into 6 equal parts: $0, \frac{1}{6}, \frac{1}{3}, \frac{1}{2}, \frac{2}{3}, \frac{5}{6}, 1$), 1 instance, total = $\frac{1}{6}$

Step2: Sum all totals

$\frac{1}{6} + \frac{2}{3} + 2$
First convert to sixths: $\frac{1}{6} + \frac{4}{6} + \frac{12}{6} = \frac{1+4+12}{6} = \frac{17}{6}$

Answer:

$\frac{17}{6}$ or $2\frac{5}{6}$ hours