Question 1

Step 1 · Analyze Daily Routine and Outdoor Time

From the recorded weekly schedule, eating and sleeping occur at relatively consistent and regular hours every day.

Based on the tracked sample data: $\text{Total outdoor time over 7 days} = 15\text{ hours}$

$\text{Average outdoor time per day} = \dfrac{15}{7} \approx 2.14\text{ hours}$

Step 1 · Record Weekly Activity Totals

Sample total hours recorded across 7 days ($T_{\text{total, activity}}$):

• Sleeping: $60\text{ hours}$
• School: $35\text{ hours}$
• Homework: $10\text{ hours}$
• Playing Outdoors: $15\text{ hours}$
• Screen Time: $20\text{ hours}$
• Eating: $14\text{ hours}$
• Other Activities: $14\text{ hours}$

Verify total weekly hours: $60 + 35 + 10 + 15 + 20 + 14 + 14 = 168 \text{ hours}$

Step 2 · Calculate Average Time per Activity

Using the formula $A_{\text{activity}} = \dfrac{T_{\text{total, activity}}}{7}$:

• Average Sleeping Time: $A_{\text{Sleeping}} = \dfrac{60 \text{ hours}}{7} \approx 8.57 \text{ hours}$

• Average School Time: $A_{\text{School}} = \dfrac{35 \text{ hours}}{7} = 5.00 \text{ hours}$

• Average Homework Time: $A_{\text{Homework}} = \dfrac{10 \text{ hours}}{7} \approx 1.43 \text{ hours}$

• Average Playing Outdoors Time: $A_{\text{Outdoors}} = \dfrac{15 \text{ hours}}{7} \approx 2.14 \text{ hours}$

• Average Screen Time: $A_{\text{Screen Time}} = \dfrac{20 \text{ hours}}{7} \approx 2.86 \text{ hours}$

• Average Eating Time: $A_{\text{Eating}} = \dfrac{14 \text{ hours}}{7} = 2.00 \text{ hours}$

• Average Other Activities Time: $A_{\text{Other}} = \dfrac{14 \text{ hours}}{7} = 2.00 \text{ hours}$

Verify sum of daily averages: $8.57 + 5.00 + 1.43 + 2.14 + 2.86 + 2.00 + 2.00 = 24.00 \text{ hours}$

Step 3 · Construct the Activity Strip

To represent the average day:

1. Draw a strip of length $24\text{ cm}$, where $1\text{ cm} = 1\text{ hour}$.
2. Divide the strip into proportional segments corresponding to each average:
   • Sleeping: $8.57\text{ cm}$
   • School: $5.00\text{ cm}$
   • Screen Time: $2.86\text{ cm}$
   • Playing Outdoors: $2.14\text{ cm}$
   • Eating: $2.00\text{ cm}$
   • Other Activities: $2.00\text{ cm}$
   • Homework: $1.43\text{ cm}$

Step 1 · Track Adult Activities and Compare

Follow the same method for an adult family member:

1. Record their daily activities over 7 days.
2. Compute daily averages using $A = \dfrac{\text{Total Hours}}{7}$.

Example comparison:

• Adult Screen/Work Time: $4.00\text{ hours/day}$
• Student Screen Time: $2.86\text{ hours/day}$

Comparison shows the adult spends more time working/on screens ($4.00\text{ hours} > 2.86\text{ hours}$) and less time in outdoor play compared to the student.