Question

question 4
this table shows the number of customers a coffee shop served over three weeks:

week	number of customers
2	3,209
3	?

the coffee shop served more customers in week 3 than in week 2, but fewer than the number served in week 1. how many customers could the coffee shop have served in week 3?
a. 3,350
b. 3,310
c. 3,201
d. 3,349
answer choice:

question 5
this table shows the number of students at a school in the years 2014–2016:

year	number of students
2015	?
2016	2,400

in 2015, there were more students than in 2014, but fewer than in 2016. which could be the number of students in 2015?
a. 2,004 students
b. 2,044 students
c. 2,404 students
d. 2,440 students
answer choice:

Explanation:

Question 4

Step1: Define the range

We know that the number of customers in Week 3 (\(C_3\)) must satisfy \(3209 < C_3 < 3348\) (since more than Week 2 (3209) and less than Week 1 (3348)).

Step2: Evaluate options

• Option A: \(3350>3348\) → invalid.
• Option B: \(3209 < 3310 < 3348\) → valid.
• Option C: \(3201 < 3209\) → invalid.
• Option D: \(3349>3348\) → invalid.

Step1: Define the range

The number of students in 2015 (\(S_{2015}\)) must satisfy \(2040 < S_{2015} < 2400\) (more than 2014 (2040), less than 2016 (2400)).

Step2: Evaluate options

• Option A: \(2004 < 2040\) → invalid.
• Option B: \(2004 < 2040\) → invalid (wait, 2044: \(2040 < 2044 < 2400\)? Wait, 2044>2040 and 2044<2400? Wait no, 2044 is greater than 2040, but let's check again. Wait, 2014: 2040, 2016:2400. So 2015 must be between 2040 and 2400.
• Option A: 2004 < 2040 → no.
• Option B: 2044: 2040 < 2044 < 2400? Wait 2044 is greater than 2040, but 2044 < 2400? Yes. Wait, but wait option C: 2404>2400 → no. Option D:2440>2400→no. Wait, wait, 2044: 2040 < 2044 < 2400? Wait 2044 is 4 more than 2040, and 2400 - 2044 = 356, so yes. Wait, but let's recheck:

Wait 2014: 2040, 2015 must be >2040 and <2400.

Option A: 2004 < 2040 → invalid.

Option B: 2044: 2040 < 2044 < 2400 → valid? Wait no, 2044 is 4 more than 2040, but 2400 is the 2016 number. Wait, but 2044 is less than 2400? Yes, 2044 < 2400. Wait, but option C: 2404>2400→invalid. Option D:2440>2400→invalid. Wait, but wait, 2044: 2040 < 2044 < 2400? Yes. Wait, but maybe I made a mistake. Wait 2014:2040, 2015 must be more than 2040, so 2044 is more than 2040, and less than 2400. So option B? Wait no, 2044 is 2044, which is more than 2040, and less than 2400. Wait, but let's check the options again:

Option A: 2,004 → less than 2040 → no.

Option B: 2,044 → 2044 > 2040 and 2044 < 2400 → yes.

Option C: 2,404 → 2404 > 2400 → no.

Option D: 2,440 → 2440 > 2400 → no.

So the correct option is B? Wait, no, wait 2044 is 2044, which is more than 2040, and less than 2400. So yes, B.

Wait, but maybe I misread the options. Let me check again:

Question 5 options:

A. 2,004 students → 2004 < 2040 → no.

B. 2,044 students → 2044 > 2040 and 2044 < 2400 → yes.

C. 2,404 students → 2404 > 2400 → no.

D. 2,440 students → 2440 > 2400 → no.

So the answer is B.

Answer:

B. 3,310

Question 5