Question

Ethel baby-sits for 3$ a hour. She also works as a tutor for 6$ per hour. Her parents only allow her to work 15 hours per week. How many hours can Ethel tutor and baby-sit and still make at least 60$ per week

Answer 1

Ethel has two jobs, she needs to work total of 15 hours per week and earn at least $60. To determine number of hours she can baby-sit and tutor, two inequalities are established based on her hourly earnings and time constraints. By solving system of inequalities using graphing or algebraic methods, allocation of hours for each job can be determined.

Step-by-step explanation:

The subject of the question is Mathematics, and it involves linear inequalities and system of equations from algebra that are typically taught in High School. Ethel has two jobs; she earns $3 per hour baby-sitting and $6 per hour tutoring. Given the constraint of working a maximum of 15 hours per week and the goal of making at least $60, we can establish the following inequalities:

• Let x be the number of hours spent baby-sitting.
• Let y be the number of hours spent tutoring.

From the given information, we can derive two equations:

1. 
   3x + 6y ≥ 60 (Income requirement)
2. 
   x + y ≤ 15 (Time constraint)

To solve for x and y, we could graph these inequalities or use algebraic methods such as substitution or elimination. By finding the values of x and y that satisfy both conditions, we will know how many hours Ethel can allocate for each job to meet her goals.