Sasha wants to make the most money she can while maintaining a 90 average. Currently she makes $9.00 per hour at her job. She knows she can maintain a 100 average if she does not work at all. She has observed that for every two hours of work, her average goes down by one point. How much money can she make each week while still maintaining a 90 average?
The Correct Answer and Explanation is :
To determine how much money Sasha can make each week while maintaining a 90 average, we first need to analyze the relationship between her working hours and her average grade.
Understanding the Impact of Work on Grades
Sasha currently has a 100 average without working. For every two hours she works, her average decreases by one point. This means:
- 0 hours of work: 100 average
- 2 hours of work: 99 average
- 4 hours of work: 98 average
- 6 hours of work: 97 average
- 8 hours of work: 96 average
- 10 hours of work: 95 average
- 12 hours of work: 94 average
- 14 hours of work: 93 average
- 16 hours of work: 92 average
- 18 hours of work: 91 average
- 20 hours of work: 90 average
From this, we can see that to maintain a 90 average, Sasha can work up to 20 hours per week.
Calculating Earnings
Sasha earns $9.00 per hour. If she works 20 hours per week, her earnings would be calculated as follows:
[
\text{Weekly Earnings} = \text{Hourly Wage} \times \text{Hours Worked}
]
Substituting in the values:
[
\text{Weekly Earnings} = 9.00 \, \text{USD/hour} \times 20 \, \text{hours} = 180.00 \, \text{USD}
]
Conclusion
Thus, Sasha can make a maximum of $180.00 per week while still maintaining her desired average of 90. This balance allows her to earn money while prioritizing her academic performance, showing the importance of managing work and study commitments effectively. By strategically working 20 hours, she maximizes her earnings without jeopardizing her grades.