GRE Prep 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.
The wait time in minutes, w, for a table at a certain restau
[#permalink]
30 Jul 2018, 09:36
30 Jul 2018, 09:36
Expert Reply
2
Bookmarks
00:00
Question Stats:
96% (01:32) correct
3% (02:04) wrong based on 31 sessions
Hide Show timer Statistics
The wait time in minutes, w, for a table at a certain restaurant can be estimated by the formula \(w = d^2 + kn\), where d is the number of diners in the party, k is a constant, and n is the number of parties ahead in line at the beginning of the wait. If a party of 4 has an estimated wait time of 40 minutes when 6 other parties are ahead of it, how many minutes would the estimated wait time be for a party of 6 if there are 3 parties ahead of it?
(A) 28
(B) 33
(C) 39
(D) 42
(E) 48
(A) 28
(B) 33
(C) 39
(D) 42
(E) 48
Re: The wait time in minutes, w, for a table at a certain restau
[#permalink]
12 Aug 2018, 05:38
12 Aug 2018, 05:38
Expert Reply
Explanation
Start by solving for the constant, k. A party of 4 (d = 4) has an estimated wait time of 40 minutes (w = 40) when 6 other parties are ahead of it (n = 6). Plug these values into the formula:
\(w = d^2 + kn\)
\(40 = 4^2 + k(6)\)
\(40 = 16 + 6k\)
\(24 = 6k\)
\(k = 4\)
Then solve for the wait time for a party of 6 (d = 6) if there are 3 parties ahead of it (n = 3), using the constant k = 4 determined above:
\(w = d^2 + kn\)
\(w = 6^2 + 4(3)\)
\(w = 36 + 12\)
\(w = 48\) minutes
Start by solving for the constant, k. A party of 4 (d = 4) has an estimated wait time of 40 minutes (w = 40) when 6 other parties are ahead of it (n = 6). Plug these values into the formula:
\(w = d^2 + kn\)
\(40 = 4^2 + k(6)\)
\(40 = 16 + 6k\)
\(24 = 6k\)
\(k = 4\)
Then solve for the wait time for a party of 6 (d = 6) if there are 3 parties ahead of it (n = 3), using the constant k = 4 determined above:
\(w = d^2 + kn\)
\(w = 6^2 + 4(3)\)
\(w = 36 + 12\)
\(w = 48\) minutes
Target Test Prep Representative
Joined: 12 Sep 2018
Status:Founder & CEO, Target Test Prep
Affiliations: Target Test Prep
Posts: 1470
Given Kudos: 5
Re: The wait time in minutes, w, for a table at a certain restau
[#permalink]
21 Jan 2019, 18:28
21 Jan 2019, 18:28
1
Expert Reply
sandy wrote:
The wait time in minutes, w, for a table at a certain restaurant can be estimated by the formula \(w = d^2 + kn\), where d is the number of diners in the party, k is a constant, and n is the number of parties ahead in line at the beginning of the wait. If a party of 4 has an estimated wait time of 40 minutes when 6 other parties are ahead of it, how many minutes would the estimated wait time be for a party of 6 if there are 3 parties ahead of it?
(A) 28
(B) 33
(C) 39
(D) 42
(E) 48
(A) 28
(B) 33
(C) 39
(D) 42
(E) 48
We are given that a party of 4 has a wait time of 40 minutes when 6 other parties are ahead of it. We can use this information to determine the value of k in the following equation:
40 = 4^2 + k(6)
40 = 16 + 6k
24 = 6k
4 = k
Now that we know that k = 4, we can find the wait time of a party of 6 when there are 3 parties ahead of it:
w = 6^2 + 4(3) = 36 + 12 = 48
Answer: E
