Deepak is a landscaper who charges 30 dollars for each job he does plus an additional 15 dollars for each hour he works. He only accepts jobs if he will earn at least 90 dollars per job. He writes this inequality to determine x , the number of hours he must work during each job in order to accomplish this. 30 plus 15 x is greater than or equal to 90 Which best describes the restrictions on the jobs Deepak will accept?
Answer
A
He only accepts jobs that last 4 or more hours.
B
He only accepts jobs that last 5 or more hours.
C
He only accepts jobs that last 8 or more hours.
D
He only accepts jobs that last 9 or more hours.
Explanation
Start with the earnings requirement: 30 + 15x ≥ 90. Subtract 30 from both sides to get 15x ≥ 60, then divide by 15 to find x ≥ 4. So Deepak accepts jobs lasting 4 or more hours, which is choice A.
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