Question

his graph shows the inequality 25x+15y≥200 and represents 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) Responses (10, 10) (10, 10) None of the points are a viable solution. None of the points are a viable solution. (2, 3)

Answer 1

To determine which of the labeled points is a viable solution for the inequality \( 25x + 15y \geq 200 \), we can substitute the coordinates of each point into the inequality and see if it holds true.

1. For the point \( (10, 10) \):
\[
25(10) + 15(10) = 250 + 150 = 400
\]
Since \( 400 \geq 200 \) is true, \( (10, 10) \) is a viable solution.

2. For the point \( (2, 3) \):
\[
25(2) + 15(3) = 50 + 45 = 95
\]
Since \( 95 \geq 200 \) is false, \( (2, 3) \) is not a viable solution.

Thus, the viable solution from the labeled points is **(10, 10)**.