|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
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% (02:47) correct
42%
(02:56)
wrong
based on 325
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 2150 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 2150 times ]
ShowHide Answer
Official Answer
Dropdown 1: Bag F
Dropdown 2: 68
18 Jul 2025, 12:00
Kudos
Bookmarks
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.
