Answer :
First, determine the total hours for each half‐day by rounding the actual elapsed time to the nearest quarter hour, then sum the sessions for each day and finally the week.
Step 1. Day 8/8
• Morning session: From 7:00 to 11:15
– The elapsed time is
[tex]$$11:15 - 7:00 = 4 \text{ hours } 15 \text{ minutes}.$$[/tex]
– In decimal form, 15 minutes is 0.25 hours, so this session totals
[tex]$$4.25 \text{ hours}.$$[/tex]
– This value is already a multiple of 0.25, so the rounded time is
[tex]$$4.25 \text{ hours}.$$[/tex]
• Afternoon session: From 12:10 to 4:10
– Note that since 4:10 is in the afternoon, treat it as 16:10 in 24-hour time.
– The elapsed time is
[tex]$$16:10 - 12:10 = 4 \text{ hours}.$$[/tex]
– Thus, the session totals
[tex]$$4.0 \text{ hours}.$$[/tex]
• Total for Day 8/8:
[tex]$$4.25 + 4.0 = 8.25 \text{ hours}.$$[/tex]
Step 2. Day 8/9
• Morning session: From 6:50 to 11:00
– The elapsed time is
[tex]$$11:00 - 6:50 = 4 \text{ hours } 10 \text{ minutes}.$$[/tex]
– Converting 10 minutes into a fraction of an hour gives
[tex]$$10 \text{ minutes} = \frac{10}{60} \approx 0.1667 \text{ hours},$$[/tex]
so the total is approximately
[tex]$$4.1667 \text{ hours}.$$[/tex]
– Rounding this value to the nearest quarter hour results in
[tex]$$4.25 \text{ hours}.$$[/tex]
• Afternoon session: From 11:50 to 4:00
– Since 4:00 in the afternoon is 16:00 in 24-hour time, the elapsed time is
[tex]$$16:00 - 11:50.$$[/tex]
– First, note that from 11:50 to 12:00 is 10 minutes and from 12:00 to 16:00 is 4 hours. Thus, the total is
[tex]$$4 \text{ hours } 10 \text{ minutes}$$[/tex]
or about
[tex]$$4.1667 \text{ hours}.$$[/tex]
– Rounding this time to the nearest quarter hour gives
[tex]$$4.25 \text{ hours}.$$[/tex]
• Total for Day 8/9:
[tex]$$4.25 + 4.25 = 8.50 \text{ hours}.$$[/tex]
*
Step 3. Weekly Totals and Pay
• Total hours for the week:
[tex]$$8.25 \text{ (Day 8/8)} + 8.50 \text{ (Day 8/9)} = 16.75 \text{ hours}.$$[/tex]
• Assuming an hourly wage of \[tex]$10, the total pay for the week is calculated by:
$[/tex][tex]$\text{Total Pay} = 16.75 \text{ hours} \times \$[/tex]10/\text{hour} = \[tex]$167.50.$[/tex][tex]$
*
Final Answer:
• Day 8/8 (Morning): $[/tex]4.25[tex]$ hours
• Day 8/8 (Afternoon): $[/tex]4.0[tex]$ hours
• Day 8/8 Total: $[/tex]8.25[tex]$ hours
• Day 8/9 (Morning): $[/tex]4.25[tex]$ hours
• Day 8/9 (Afternoon): $[/tex]4.25[tex]$ hours
• Day 8/9 Total: $[/tex]8.50[tex]$ hours
• Weekly Total Hours: $[/tex]16.75[tex]$ hours
• Total Weekly Pay: \$[/tex]167.50
Step 1. Day 8/8
• Morning session: From 7:00 to 11:15
– The elapsed time is
[tex]$$11:15 - 7:00 = 4 \text{ hours } 15 \text{ minutes}.$$[/tex]
– In decimal form, 15 minutes is 0.25 hours, so this session totals
[tex]$$4.25 \text{ hours}.$$[/tex]
– This value is already a multiple of 0.25, so the rounded time is
[tex]$$4.25 \text{ hours}.$$[/tex]
• Afternoon session: From 12:10 to 4:10
– Note that since 4:10 is in the afternoon, treat it as 16:10 in 24-hour time.
– The elapsed time is
[tex]$$16:10 - 12:10 = 4 \text{ hours}.$$[/tex]
– Thus, the session totals
[tex]$$4.0 \text{ hours}.$$[/tex]
• Total for Day 8/8:
[tex]$$4.25 + 4.0 = 8.25 \text{ hours}.$$[/tex]
Step 2. Day 8/9
• Morning session: From 6:50 to 11:00
– The elapsed time is
[tex]$$11:00 - 6:50 = 4 \text{ hours } 10 \text{ minutes}.$$[/tex]
– Converting 10 minutes into a fraction of an hour gives
[tex]$$10 \text{ minutes} = \frac{10}{60} \approx 0.1667 \text{ hours},$$[/tex]
so the total is approximately
[tex]$$4.1667 \text{ hours}.$$[/tex]
– Rounding this value to the nearest quarter hour results in
[tex]$$4.25 \text{ hours}.$$[/tex]
• Afternoon session: From 11:50 to 4:00
– Since 4:00 in the afternoon is 16:00 in 24-hour time, the elapsed time is
[tex]$$16:00 - 11:50.$$[/tex]
– First, note that from 11:50 to 12:00 is 10 minutes and from 12:00 to 16:00 is 4 hours. Thus, the total is
[tex]$$4 \text{ hours } 10 \text{ minutes}$$[/tex]
or about
[tex]$$4.1667 \text{ hours}.$$[/tex]
– Rounding this time to the nearest quarter hour gives
[tex]$$4.25 \text{ hours}.$$[/tex]
• Total for Day 8/9:
[tex]$$4.25 + 4.25 = 8.50 \text{ hours}.$$[/tex]
*
Step 3. Weekly Totals and Pay
• Total hours for the week:
[tex]$$8.25 \text{ (Day 8/8)} + 8.50 \text{ (Day 8/9)} = 16.75 \text{ hours}.$$[/tex]
• Assuming an hourly wage of \[tex]$10, the total pay for the week is calculated by:
$[/tex][tex]$\text{Total Pay} = 16.75 \text{ hours} \times \$[/tex]10/\text{hour} = \[tex]$167.50.$[/tex][tex]$
*
Final Answer:
• Day 8/8 (Morning): $[/tex]4.25[tex]$ hours
• Day 8/8 (Afternoon): $[/tex]4.0[tex]$ hours
• Day 8/8 Total: $[/tex]8.25[tex]$ hours
• Day 8/9 (Morning): $[/tex]4.25[tex]$ hours
• Day 8/9 (Afternoon): $[/tex]4.25[tex]$ hours
• Day 8/9 Total: $[/tex]8.50[tex]$ hours
• Weekly Total Hours: $[/tex]16.75[tex]$ hours
• Total Weekly Pay: \$[/tex]167.50
