Claire works two jobs; she works 54 hours in one week with these two jobs and makes $10 an hour. She is trying to save up for a trip that cost her $5000. She has set aside $1500 already. Write an inequality to represent the minimum amount of weeks she needs to work to save at least 5000.
O 10x + 1500 < 5000
O 54(10) * x + 1500 > 5000
O 10x + 1500 >= 5000
O 54(10) * x - 1500 <= 5000
O 54(10) * x + 1500 >= 5000
O 10x + 1500 < 5000
The correct inequality to represent the minimum amount of weeks Claire needs to work to save at least $5000 is:
10x + 1500 >= 5000
Explanation:
- Let's break down the inequality.
- The left side of the inequality, 10x, represents Claire's earnings per week, where x is the number of weeks she works. Since she earns $10 per hour and works a total of 54 hours in one week, we can multiply 10 by 54 to get her weekly earnings: 10 * 54 = 540.
- The right side of the inequality, 5000, represents the amount of money Claire needs to save for her trip.
- The term +1500 represents the amount of money Claire has already set aside. Since it is positive, we add it to her earnings.
- Now, if Claire wants to save at least $5000, her total earnings plus what she has set aside should be greater than or equal to $5000. Hence, the inequality is:
10x + 1500 >= 5000
This inequality states that Claire needs to earn at least $5000 including what she has already saved to afford her $5000 trip.