Question

This graph shows the inequality 25x+15y≥200
, representing Lina's earnings for lawn mowing and dog walking, where x represents the number of lawns mowed and y represents the number of dogs walked. Which of the labeled points is a viable solution in this context?

(1 point)

(10,10)

(2,3)

(20,11.5)

None of the points area viable solution

Answer 1

(10, 10)

Check:
- (10,10): 25(10)+15(10)=250+150=400 ≥200 → satisfies inequality and both numbers are whole.
- (2,3): 25(2)+15(3)=50+45=95 <200 → does not satisfy.
- (20,11.5): 25(20)+15(11.5)=500+172.5=672.5 ≥200 but 11.5 dogs is not realistic (must be whole dogs).

So (10,10) is the viable solution.