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Question
part 2: interpreting data and finding patterns
a 5th grade class tracked their daily reading minutes for two weeks. study the data and answer questions 1 - 4 (note: original text mentions 7 - 12, likely a typo).
class reading minutes - two week challenge
| week | monday | tuesday | wednesday | thursday | friday | weekly total |
|---|---|---|---|---|---|---|
| week 2 | 140 | 155 | 170 | 185 | 200 | 850 |
- how many total minutes did the class read in week 1? ______
- which day of the week shows the most reading minutes in both weeks? ______
- what pattern do you notice about the daily reading minutes within each week?
- compare week 1 to week 2. what trend do you see?
Question 1
Step1: Find Week 1's total
The table shows Week 1's Weekly Total is given.
<From the table, Week 1's Weekly Total is 750.>
Step1: List daily minutes for both weeks
Week 1: Monday=120, Tuesday=135, Wednesday=150, Thursday=165, Friday=180
Week 2: Monday=140, Tuesday=155, Wednesday=170, Thursday=185, Friday=200
Step2: Identify the maximum day
Friday has the highest minutes in both weeks (180 in Week 1, 200 in Week 2).
Step1: Analyze Week 1's daily minutes
120, 135, 150, 165, 180. The difference between consecutive days: \(135 - 120 = 15\), \(150 - 135 = 15\), \(165 - 150 = 15\), \(180 - 165 = 15\).
Step2: Analyze Week 2's daily minutes
140, 155, 170, 185, 200. The difference between consecutive days: \(155 - 140 = 15\), \(170 - 155 = 15\), \(185 - 170 = 15\), \(200 - 185 = 15\).
Step3: Identify the pattern
Within each week, the daily reading minutes increase by 15 minutes each day (linear increase with a common difference of 15).
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