31 January, 02:38

# 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.

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1. 31 January, 04:32
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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.