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.