Question

select the correct line plot. each x represents 1 night.
stella records the amount of time she sleeps each night for two weeks. the table displays the data she recorded.
hours of sleep

time (hours)	number of nights
$7\frac{1}{4}$	3
$8\frac{1}{4}$	1
$8\frac{1}{2}$	6

which line plot represents the data in the table?

Explanation:

Step1: Analyze \( 7\frac{1}{3} \) hours

The number of nights for \( 7\frac{1}{3} \) hours is 4, so there should be 4 X's above \( 7\frac{1}{3} \) on the line plot.

Step2: Analyze \( 7\frac{1}{4} \) hours

For \( 7\frac{1}{4} \) hours, the number of nights is 3, so 3 X's above \( 7\frac{1}{4} \).

Step3: Analyze \( 8\frac{1}{4} \) hours

The number of nights for \( 8\frac{1}{4} \) hours is 1, so 1 X above \( 8\frac{1}{4} \).

Step4: Analyze \( 8\frac{1}{2} \) hours

For \( 8\frac{1}{2} \) hours, the number of nights is 6, so 6 X's above \( 8\frac{1}{2} \).
To identify the correct line plot, we check each category:

• Above \( 7\frac{1}{3} \): 4 X's.
• Above \( 7\frac{1}{4} \): 3 X's.
• Above \( 8\frac{1}{4} \): 1 X.
• Above \( 8\frac{1}{2} \): 6 X's.

The line plot that matches these counts for each time interval is the correct one. (Since the actual line plots are not shown here, but based on the data, we can describe the correct plot as having 4 Xs at \( 7\frac{1}{3} \), 3 Xs at \( 7\frac{1}{4} \), 1 X at \( 8\frac{1}{4} \), and 6 Xs at \( 8\frac{1}{2} \).)

Answer:

The line plot with 4 Xs at \( 7\frac{1}{3} \), 3 Xs at \( 7\frac{1}{4} \), 1 X at \( 8\frac{1}{4} \), and 6 Xs at \( 8\frac{1}{2} \) (identify the correct plot based on these counts among the given options).