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A courier driver is offered a shift premium of [tex]$7/hour to drive after 8 PM. Mike's schedule last week is shown below. If Mike's regular pay is $[/tex]12.50/hour, how much did he earn last week? Use the chart below to help you.

Schedule:
- Monday: 12 PM - 7 PM
- Tuesday: 9 AM - 5 PM
- Wednesday: 6 PM - 11 PM
- Thursday: 12 PM - 8 PM
- Friday: 3 PM - 9 PM

| Day | Regular Hours | Shift Premium Hours |
|-----------|----------------|---------------------|
| Monday | 7 | 0 |
| Tuesday | 8 | 0 |
| Wednesday | 2 | 3 |
| Thursday | 8 | 0 |
| Friday | 5 | 1 |
| Total | 30 | 4 |

Calculations:
- Regular hours: 30 hours
- Shift premium hours: 4 hours
- Regular pay: [tex]$12.50/hour
- Shift premium pay: $[/tex]7/hour

Total Earnings:
- Regular pay: [tex]$12.50 × 30 = $[/tex]375
- Shift premium pay: [tex]$7 × 4 = $[/tex]28
- Total earnings: [tex]$375 + $[/tex]28 = [tex]$403

Mike earned $[/tex]403 last week.

Sagot :

GinnyAnswer
To determine Mike's total earnings for the week, we need to calculate the regular and shift premium hours for each day, and then use the given rates to find the total earnings.

1. Monday: 12 PM - 7 PM
- There are no hours after 8 PM.
- Regular hours: [tex]\( 7 - 12 = 7 \)[/tex] hours.
- Shift premium hours: [tex]\( 0 \)[/tex] hours.
- Earnings: [tex]\( 7 \times 12.50 = \$87.50 \)[/tex].

2. Tuesday: 9 AM - 5 PM
- There are no hours after 8 PM.
- Regular hours: [tex]\( 17 - 9 = 8 \)[/tex] hours (as 5 PM is 17 in 24-hour format).
- Shift premium hours: [tex]\( 0 \)[/tex] hours.
- Earnings: [tex]\( 8 \times 12.50 = \$100.00 \)[/tex].

3. Wednesday: 6 PM - 11 PM
- Hours worked from 8 PM to 11 PM: [tex]\( 11 - 20 = 3 \)[/tex] hours.
- Regular hours: [tex]\( 20 - 18 = 2 \)[/tex] hours.
- Total worked hours: [tex]\( 5 = 2 + 3 \)[/tex] hours.
- Earnings: [tex]\( (2 \times 12.50) + (3 \times (12.50 + 7)) = 25 + (3 \times 19.50) = 25 + 58.50 = \$83.50 \)[/tex].

4. Thursday: 12 PM - 8 PM
- There are no hours after 8 PM.
- Regular hours: [tex]\( 20 - 12 = 8 \)[/tex] hours.
- Shift premium hours: [tex]\( 0 \)[/tex] hours.
- Earnings: [tex]\( 8 \times 12.50 = \$100.00 \)[/tex].

5. Friday: 3 PM - 9 PM
- Hours worked from 8 PM to 9 PM: [tex]\( 1 \)[/tex] hour.
- Regular hours: [tex]\( 20 - 15 = 5 \)[/tex] hours.
- Total worked hours: [tex]\( 6 = 5 + 1 \)[/tex] hours.
- Earnings: [tex]\( (5 \times 12.50) + (1 \times (12.50 + 7)) = 62.50 + 19.50 = \$82.00 \)[/tex].

Total Earnings Calculation:

- Monday: \[tex]$87.50 - Tuesday: \$[/tex]100.00
- Wednesday: \[tex]$83.50 - Thursday: \$[/tex]100.00
- Friday: \[tex]$82.00 Sum Total Earnings: \[ 87.50 + 100.00 + 83.50 + 100.00 + 82.00 = \$[/tex]453.00
\]

So, Mike's total earnings for the week amount to [tex]\(\$303.00\)[/tex].
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