Answer: (8, 8)
Step-by-step explanation:
To solve this problem, we need to set up the following system of inequalities:
1. a + y ≤ 16 (total hours worked cannot exceed 16 hours)
2. 12a + 8y ≥ 160 (total earnings must be at least $160)
3. y ≥ 2 (she must work at least 2 hours washing cars)
To graph these inequalities, plot the lines:
a + y = 16 (dotted line passing through points (16,0) and (0,16) )
12a + 8y = 160 (dotted line passing through points (13.33,0) and (0,20) )
y = 2 (solid line passing through point (0, 2) )
The feasible region will be the triangle formed by the intersection of these lines. One possible solution within this region could be a = 8 hours babysitting and y = 8 hours washing cars.
Hope this helps!
