Question

Merv only has $18 to spend at the store and needs to by x number of apples and y number of oranges for snacks at the baseball game. This is represented by the inequality 3x+2y≤18 as shown on the graph. Which one of the three points shown is a viable solution and explain why the other two are not viable. (Requires 3 sentences; one about each point explaining why it is a solution or not). Points: (4,5), (4,3), and (1.5, 2)

Answer 1

The point (4, 5) is not a viable solution because substituting these values into the inequality results in 3(4) + 2(5) = 12 + 10 = 22, which is greater than 18. Similarly, the point (4, 3) is also not a viable solution since substituting these values yields 3(4) + 2(3) = 12 + 6 = 18, which does not satisfy the inequality since it only allows for values less than or equal to 18. In contrast, the point (1.5, 2) is a viable solution because substituting these values gives 3(1.5) + 2(2) = 4.5 + 4 = 8.5, which is less than 18 and meets the constraints of the inequality.