Charlotte is working two summer jobs, making $7 per hour babysitting and making $9 per hour walking dogs. In a given week, she can work a maximum of 11 total hours and must earn at least $85. If Charlotte worked 8 hours walking dogs, determine the minimum number of whole hours babysitting that she must work to meet her requirements.

the minimum number of hours is 2

Step-by-step explanation:

Let x represent the number of hours that she must babysit.

In a given week, she can work a maximum of 11 total hours. If Charlotte worked 8 hours walking dogs, it means that

x + 8 ≤ 11

x ≤ 11 - 8

x ≤ 3

She makes $7 per hour babysitting and $9 per hour walking dogs. It means that if Charlotte worked 8 hours walking dogs and x hours babysitting in a week, her total earnings would be

(7 × x) + (8 × 9) = 7x + 72

She must earn at least $85. Therefore,

7x + 72 ≥ 85

7x ≥ 85 - 72

7x ≥ 13

x ≥ 13/7

x ≥ 1.86

Since it must be whole numbers, then

x ≥ 2

Therefore, the range of hours is

2 ≤ x ≤ 3

The minimum number of hours is 2

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