Question

What is a viable solution to 25x + 15y 25 ≥ 200

None of the points are a viable solution

2, 3

10, 10

20, 11.5

Answer 1

To determine whether the points are viable solutions to the inequality \( 25x + 15y \geq 200 \), we need to evaluate the expression for each of the given points.

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

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

3. **For the point (20, 11.5)**:
\[
25(20) + 15(11.5) = 500 + 172.5 = 672.5
\]
Since \( 672.5 \geq 200 \), the point (20, 11.5) **is** also a viable solution.

In summary:
- (2, 3): not a viable solution
- (10, 10): viable solution
- (20, 11.5): viable solution

Thus, the viable solutions among the points provided are (10, 10) and (20, 11.5).