Events & Promotions
|
|
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.
Apr 2912:30 AM EDT
-01:30 AM EDT
Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
Apr 3001:30 AM EDT
-02:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
May 0111:00 AM PDT
-12:00 PM PDT
Free- full-length test + 15 concept videos + 150+ short videos + study plan!
May 0306:30 AM PDT
-08:30 AM PDT
Verbal trouble on GMAT? Fix it NOW! Join Sunita Singhvi for a focused webinar on actionable strategies to boost your Verbal score and take your performance to the next level.
30 Dec 2024, 07:00
Kudos
Bookmarks
x: 4
k: 2
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
68% (02:09) correct
32%
(02:19)
wrong
based on 749
sessions
History
Date
Time
Result
Not Attempted Yet
The current population y of a certain organism is determined by the formula \(y = x(2^{kt})\), in which x is the organism's initial population, t is the number of hours that the organism's population has been growing, and k is a constant that is associated with the organism's hourly growth rate. The number of organisms after 4 hours is 1,024.
Select a value of x and a value of k that are jointly consistent with the given information. Make only two selections, one in each column.
Select a value of x and a value of k that are jointly consistent with the given information. Make only two selections, one in each column.
| x | k | |
| 1 | ||
| 2 | ||
| 3 | ||
| 4 | ||
| 6 | ||
| 8 |
ShowHide Answer
Official Answer
x: 4
k: 2
31 Dec 2024, 01:05
Kudos
Bookmarks
Bismuth83
\(y = x(2^{kt})\)
we are given,
\(y = 1024 = 2^{10}\)
\(t = 4\)
Calculate value of x and k
\(2^{10} = x*(2^{4k})\)
Only 2 values of k are possible as 4k <= 10 ie. k<=2.5
| k | x | |
| 1 | \(2^6\) | Not possible |
| 2 | \(2^2\) | Correct |
Hence, (x, k) = (4, 2)
31 Dec 2024, 07:00
Kudos
Bookmarks
1. We are given a single data point, t = 4 and y = 1024, so let's plug it in: \(1024 = x(2^{k * 4}) \rightarrow 2^{10} = 2^{4k}x\).
2. Looking at the answer choices tells us that x and k are whole numbers from 1 to 8.
3. For the equation to work, x needs to be a power of 2 and 4k must be in between 1 and 10: \(1 \leq 4k \leq 10 \rightarrow 0.25 \leq k \leq 2.5 \rightarrow k = 1 \ or \ 2\).
4. Let's check both possibilities:
- k = 1. \(2^{10} = 2^{4 * 1}x \rightarrow x = 2^{6} = 64\). However, this isn't an answer choice.
- k = 2. \(2^{10} = 2^{4 * 2}x \rightarrow x = 2^{2} = 4\). This is an answer choice.
5. Our answer will be: x - 4 and k - 2.
2. Looking at the answer choices tells us that x and k are whole numbers from 1 to 8.
3. For the equation to work, x needs to be a power of 2 and 4k must be in between 1 and 10: \(1 \leq 4k \leq 10 \rightarrow 0.25 \leq k \leq 2.5 \rightarrow k = 1 \ or \ 2\).
4. Let's check both possibilities:
- k = 1. \(2^{10} = 2^{4 * 1}x \rightarrow x = 2^{6} = 64\). However, this isn't an answer choice.
- k = 2. \(2^{10} = 2^{4 * 2}x \rightarrow x = 2^{2} = 4\). This is an answer choice.
5. Our answer will be: x - 4 and k - 2.
