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  • Example: Translating and Solving a Profit Inequality for a Maintenance Business

Multiple Choice

Based on the maintenance business example provided, what is the minimum number of jobs (jjj) that must be completed to achieve a monthly profit of at least 4,000{}4,0004,000?

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Updated 2026-05-22

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Related
  • As a manager of a maintenance business, you use the algebraic model 60j−1,100≥4,000{}60j - 1,100 \geq 4,00060j−1,100≥4,000 to track your profitability. Match each component of this inequality to the specific business factor it represents.

  • A landscaping business uses the inequality 60j−1,100≥4,000{}60j - 1,100 \geq 4,00060j−1,100≥4,000 to determine the number of jobs (jjj) needed to meet a monthly profit target of 4,000. Arrange the following steps in the correct order to solve this inequality for jjj.

  • Based on the maintenance business example provided, what is the minimum number of jobs (jjj) that must be completed to achieve a monthly profit of at least 4,000{}4,0004,000?

  • Mathematical Representation of 'At Least'

  • To determine if a landscaping business meets its target profit using the inequality 60j−1,100≥4,000{}60j - 1{,}100 \geq 4{,}00060j−1,100≥4,000, the model adds the monthly expenses to the revenue generated by the jobs.

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