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Pregunta

Montgomery Lowe

01/11/2023 · Escuela primaria

20) 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?

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expertRespuesta verificada por expertos

Sullivan Hardy
Certificated Tutor
4.0 (39votos)

Sasha can make $90 per week while maintaining a 90 average.

Solución

  1. Determine how many points Sasha can afford to lose to maintain a 90 average:
    • Starting average: 100
    • Desired average: 90
    • Points she can lose: \(100 - 90 = 10\)
  2. Calculate the number of hours she can work without dropping below a 90 average:
    • For every 2 hours of work, her average drops by 1 point.
    • Points she can lose: 10
    • Hours per point: 2
      \[\text { Total hours she can work} = 10 \times 2 = 20 \text { hours} \]
  3. Calculate the total money she can make working 20 hours per week:
    • Hourly wage: $9.00
      \(Total earnings= 20\times 9= 180 dollars\)

 

Supplemental Knowledge

In algebra, linear equations can be used to model relationships between variables. In this problem, we need to understand how Sasha's average decreases as her working hours increase and find the maximum number of hours she can work while maintaining a 90 average.

 

From Concepts to Reality 

Imagine you're trying to balance school and a part-time job; earning as much money without sacrificing grades below certain standards is your goal. By understanding how studying time relates to work hours, your schedule can be optimized in ways that maximize both financial gain and academic achievement.

 

To master algebraic concepts like these and other mathematical skills, explore UpStudy’s live tutor question bank or our AI-powered problem-solving services. Our resources provide detailed explanations and interactive learning experiences tailored to your needs.
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