## Answer :

**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!