Question

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.

Answer 1

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.

Answer 2

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