Answer:
New hourly rate: $7.15
Total number of hours: 35
Step-by-step explanation:
$6.50 per hour:
Given Nadia's hourly rate of $6.50:
For the first week of the month, she babysits for 19.50 hours:
$6.50 per hour × 19.50 hours = $126.75 (Week 1)
For the second week of the month, she babysits for 19 hours:
$6.50 per hour × 19 hours = $123.50 (Week 2).
For those two weeks, she worked for a total of 38.50 hours, and earned $250.25.
$6.50 + $0.65 per hour increase:
Nadia increased her hourly rate by $0.65, which means that her new hourly rate will be: $6.50 + $0.65 = $7.15 per hour.
Since we need to determine how many hours she needs to work for in the next two weeks to make the same amount as she did in the first two weeks, we could divide her weekly earnings by her new hourly rate for babysitting:
Week 3:
Divide Nadia's earnings for week 1 by $7.15:
$126.75 ÷ $7.15 = 17.72 hours
Week 4:
Divide Nadia's earnings for week 2 by $7.15:
$123.50 ÷ $7.15 = 17.27 hours
Week 3 + Week 4 hours = 17.72 + 17.27 = 34.99 or 35 hours
If you multiply her total working hours for weeks 3 and 4 by her new hourly rate:
35 hours × $7.15 per hour = $250.25 (This matches her total earnings for Week 1 and 2).
Therefore, Nadia's new hourly rate is $7.15. She would need to work for 35 hours in the next two weeks to make the same amount she made in the first two weeks.
