Nicole is working two summer jobs, making $10 per hour babysitting and making $20 per hour tutoring. In a given week, she can work at most 17 total hours and must earn a minimum of $250. If Nicole worked 2 hours babysitting, determine all possible values for the number of whole hours tutoring that she must work to meet her requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

The possible values of tutoring hours are 12 hours, 13 hours, 14 hours, 15 hours.Solution:Given that, Nicole is working two summer jobs, making $10 per hour babysitting and making $20 per hour tutoring.  In a given week, she can work at most 17 total hours and must earn a minimum of $250.  Nicole worked 2 hours babysitting, then we have to determine all possible values for the number of whole hours tutoring that she must work to meet her requirements.  Now, as she worked for 2 hours of babysitting, she will get 2 x $10 = $ 20  Now, after this, she can work at most (17 - 2) = 15 hours for tutoring and she has to earn minimum of 250 – 20 = $230 Now, let the number of hours she tutored be "n" Then, from above cases n ≤ 15  And n x $20 ≥ 230 n ≥ 11.5  Here we have to cases,  n ≥ 11.5 and n ≤ 15 So, the possible list of n values will be 12, 13, 14, 15 Hence, the possible values of tutoring hours are 12 hours, 13 hours, 14 hours, 15 hours.