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Dropdown 1: Bag F
Dropdown 2: 68
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
58% (02:46) correct
42%
(02:54)
wrong
based on 331
sessions
History
Date
Time
Result
Not Attempted Yet
In a wilderness survival challenge, each backpack's effectiveness is evaluated based on two features: storage capacity (x-axis) and durability (y-axis). The suitability of a backpack for different terrains can be ranked using a formula like 3x + 8y, where a higher value means better overall performance. The chart below shows the stats for each backpack (bag):
Based on the information in the chart, answer the following questions:
If a certain trek equally values storage capacity and durability (x + y), the top-performing backpack would be .
The largest absolute difference between storage capacity and durability among the backpacks is , indicating a model with a highly specialized design.
chart (11).png [ 29.05 KiB | Viewed 2201 times ]
Based on the information in the chart, answer the following questions:
If a certain trek equally values storage capacity and durability (x + y), the top-performing backpack would be .
The largest absolute difference between storage capacity and durability among the backpacks is , indicating a model with a highly specialized design.
Attachment:
chart (11).png [ 29.05 KiB | Viewed 2201 times ]
ShowHide Answer
Official Answer
Dropdown 1: Bag F
Dropdown 2: 68
18 Jul 2025, 12:00
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1. The question asks us to analyze the graph and answer the following dropdowns.
2. We are given a set of points and have to find which point has the greatest sum of coordinates. One way to do this without any large calculations is visually. Let x + y equal some sum s. Then, \(x + y = s \rightarrow y = -x + s\). If we draw the line y = -x and shift it towards our point, that shift will be s, which we want to be as large as possible. It can easily be seen that Bag F would require the greatest shift.
3. Now, the greatest absolute difference between the coordinates, or |\(x - y\)|, needs to be found. Let's write down all of the coordinates and calculate the values:
This means that the largest absolute difference is about 68.
4. Our answer will be: D1 - Bag F and D2 - 68.
2. We are given a set of points and have to find which point has the greatest sum of coordinates. One way to do this without any large calculations is visually. Let x + y equal some sum s. Then, \(x + y = s \rightarrow y = -x + s\). If we draw the line y = -x and shift it towards our point, that shift will be s, which we want to be as large as possible. It can easily be seen that Bag F would require the greatest shift.
3. Now, the greatest absolute difference between the coordinates, or |\(x - y\)|, needs to be found. Let's write down all of the coordinates and calculate the values:
| Bags | x-coordinate | y-coordinate | |\(x - y\)| |
| A | -42 | 10 | 52 |
| B | 56 | -12 | 68 |
| C | 31 | 5 | 26 |
| D | 22 | -21 | 43 |
| E | -28 | -8 | 20 |
| F | 53 | 18 | 35 |
This means that the largest absolute difference is about 68.
4. Our answer will be: D1 - Bag F and D2 - 68.
