Question

A basket holds at most 16 pounds of apples and oranges. There are at least 10 pounds of oranges. Which point on the graph represents a viable solution?

a) (5, 10)
b) (8, 8)
c) (12, 6)
d) (16, 0)

Answer 1

The point (8, 8) on the graph represents a viable solution.

Step-by-step explanation:

The viable solution on the graph would be the point (8, 8) represented by option b. In this point, the x-coordinate represents the weight of the apples and the y-coordinate represents the weight of the oranges.

Since the basket holds at most 16 pounds, the total weight of apples and oranges cannot exceed 16. The point (8, 8) satisfies this condition because 8 + 8 = 16.

Additionally, the condition that there are at least 10 pounds of oranges is satisfied because the y-coordinate is equal to 8, which is greater than 10. Therefore, option b represents a viable solution.