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4 votes
Corey is working two summer jobs, making $10 per hour babysitting and making $15 per hour clearing tables. In a given week, he can work at most 13 total hours and must earn at least $180. If Corey worked 3 hours clearing tables, determine the minimum number of whole hours babysitting that he must work to meet his requirements.

2 Answers

5 votes

Final answer:

Corey cannot meet the minimum earning requirement with the constraints given. Working 3 hours at the table clearing job doesn't leave enough hours for babysitting to achieve the $180 target.

Step-by-step explanation:

The student has asked a question related to a linear inequality problem that involves calculating the minimum number of whole hours Corey must work babysitting, given his hourly wages and constraints on total hours and earnings. If Corey worked 3 hours clearing tables at $15 per hour, he earned $45 from that job. He needs at least $180 in total, so he must earn a minimum of $180 - $45 = $135 from babysitting. Since he makes $10 per hour babysitting, he must work at least $135 / $10 per hour = 13.5 hours. However, since he can work at most 13 total hours and has already worked 3 hours clearing tables, he can work only 13 - 3 = 10 hours babysitting. Since this falls short of the 13.5 hours needed to meet the minimum earnings requirement, Corey will not be able to meet the $180 requirement with these constraints.

User Bkach
by
7.7k points
3 votes
this doesn’t make sense because 10x10 is 100 and 3x15 is 45 so it’s 145 is the max if he can only work 13 hours
User Azangru
by
7.8k points
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