Question
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Nina earns per hour. Write and solve an inequality to d
to earn at least . Then interpret the solution. Explain your

Ask by Horton Curry. in the United States
Jan 22,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Nina needs to work at least 20 hours to earn $250.

Solution

To determine how many hours Nina needs to work to earn at least $250, follow these steps:

1. Define the Variables

  • Let represent the number of hours Nina works.

2. Set Up the Inequality

Nina earns $12.50 per hour, so her total earnings can be expressed as:
To earn at least $250, the inequality is:

3. Solve the Inequality

To find the minimum number of hours Nina needs to work, solve for :

4. Interpret the Solution

The solution means:
  • Nina must work at least 20 hours to earn $250 or more.
    This ensures that her earnings meet or exceed the target amount of $250.

5. Summary

Interpretation: Nina needs to work 20 hours or more to earn at least $250.

Answered by UpStudy AI and reviewed by a Professional Tutor

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Explain
Simplify this solution

Mind Expander

To find out how many hours Nina needs to work to earn at least , we can set up the inequality:
To solve for , we divide both sides by :
This means Nina needs to work at least 20 hours to earn at least . In other words, if she works 20 hours or more, she will meet her earning goal!
To give this a fun twist, consider that working 20 hours is like the equivalent of being on a mini-adventure each week, earning enough treasure (cash) to buy a fun outing or treat! So, if Nina can plan her schedule to meet or exceed those hours, she can unlock those rewards. Plus, every extra hour she works beyond that just adds more treasure to her stash!

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