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. (1 point)
Responses
54(10)x−1500≤5000
54 10 x minus 1500 is less than or equal to 5000
10x+1500≤5000
10 x plus 1500 is less than or equal to 5000
54(10)x+1500≥5000
54 10 x plus 1500 is greater than or equal to 5000
10x+1500≥5000
The correct inequality is: 54(10)x+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
where x represents the number of weeks she needs to work.
The correct inequality to represent the minimum amount of weeks Claire needs to work to save at least $5000 is:
10x + 1500 ≥ 5000
Explanation:
We know that Claire works 54 hours in one week with these two jobs and makes $10 an hour. So her total earnings in one week can be calculated as 10 times the number of weeks she works, denoted by 'x'. But since Claire has already set aside $1500, we need to add this amount to her total earnings.
Therefore, the expression for her total savings after 'x' weeks would be 10x + 1500.
To represent that her total savings should be greater than or equal to $5000, we use the inequality sign '≥' and compare the expression to 5000.
Hence, the correct inequality is: 10x + 1500 ≥ 5000.