The points on line f represent combinations of plums and apples that equal 10 total pieces of fruit in the bag. The points on line w represent the combinations of plums and apples that weigh 32 ounces.

Question

What does the point (5,3.5) represent?
x
y
(5, 3.5)
fw
0
1
2
3
4
5
6
7
8
9
10
0
1
2
3
4
5
6
7
8
9
10
Number of apples
Number of plums

Answer 1

To interpret the point (5, 3.5) in the context of the information provided:

• The x-coordinate (5) represents the number of apples.
• The y-coordinate (3.5) represents the number of plums.

Therefore, the point (5, 3.5) represents a combination of 5 apples and 3.5 plums in the bag.

Given that plums are typically whole pieces of fruit, having 3.5 plums suggests a hypothetical situation, possibly used for modeling purposes. In real-world terms, it could imply that 3.5 plums (as a measurement in a problem) refers to half of a plum's weight if plums can be divided in this context.

Additionally, if we refer to the lines f and w:

• Line f is for combinations of fruit that total 10 pieces.
• Line w is for combinations of fruit that weigh 32 ounces.

The point (5, 3.5) suggests that this combination of 5 apples and 3.5 plums is also contained within the constraints set by both lines, making it a valid solution to both equations. The specifics of the weights, however, would need additional context regarding the weight of the individual fruits to confirm that this point also satisfies the weight condition.