Question

Gretchen babysits her neighbor’s children and tutors at the community center. She would prefer to tutor at least 8 hours a week and babysit for less than 10 hours a week, but she cannot work more than 20 total hours each week. Which system of inequalities could Gretchen use to determine the possible hours she might work each week babysitting, b, and tutoring, t?

Answer 1

The system of inequalities Gretchen can use to determine the possible hours she might work each week babysitting and tutoring are b ≥ 8, t < 10, and b + t ≤ 20.

Step-by-step explanation:

Gretchen's goal is to tutor for at least 8 hours a week, b, and babysit for less than 10 hours a week, t. However, she cannot work more than a total of 20 hours a week. To represent these conditions as a system of inequalities, we can use:

b ≥ 8 (Gretchen tutors at least 8 hours a week)
t < 10 (Gretchen babysits for less than 10 hours a week)
b + t <= 20 (Gretchen cannot work more than a total of 20 hours a week)