Daily Math Warm-Ups 639 Data Analysis and Probability for 6th ... - Free Printable

It looks like you've uploaded a worksheet with two math problems related to interpreting temperature data and line graphs. Since I can't view images directly, I’ll help you solve the problems based on the text you provided. Let's go step by step.

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Problem 1: "What’s the Problem?" – Temperature Data Table

Given:
A table of temperatures recorded at noon for 10 days (Mon–Fri over two weeks):

| Day | Mon | Tues | Wed | Thurs | Fri |
|-----------|-----|------|-----|-------|-----|
| Week 1 | 72 | 74 | 76 | 78 | 80 |
| Week 2 | 71 | 73 | 75 | 77 | 79 |

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#### 1. Graph the above data in a line graph.

Explanation:
To create a line graph:
- On the x-axis (horizontal), label the days: Mon, Tues, Wed, Thurs, Fri, then repeat for the second week.
- On the y-axis (vertical), label temperature in degrees Fahrenheit from 70 to 80 or slightly beyond.
- Plot each temperature point and connect them with lines.

Example Points:
- Week 1: (Mon, 72), (Tue, 74), (Wed, 76), (Thu, 78), (Fri, 80)
- Week 2: (Mon, 71), (Tue, 73), (Wed, 75), (Thu, 77), (Fri, 79)

The graph will show two upward trends, one for each week, both increasing by 2°F per day.

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#### 2. What was the general pattern of temperatures over these 2 weeks?

Answer:
The temperature increased steadily each day of the week, rising by 2°F daily. This pattern repeated in both weeks.

Explanation:
- Week 1: 72 → 74 → 76 → 78 → 80 (increasing by 2°F each day)
- Week 2: 71 → 73 → 75 → 77 → 79 (also increasing by 2°F each day)

So, the general pattern is a consistent increase of 2°F per day, with the second week starting 1°F lower than the first week.

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#### 3. Between which 2 consecutive days did the greatest change of temperature occur?

Answer:
There is no day-to-day change greater than 2°F — every consecutive day increases by exactly 2°F.

So, all changes are equal (2°F). Therefore, there is no single pair with the greatest change — all changes are the same.

But if we must pick, we could say: Every consecutive day had the same change of +2°F, so there is no single greatest change.

Alternatively, if the question expects an answer, you might write:
> The greatest change was 2°F, and it occurred between every pair of consecutive days.

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Problem 2: "What’s the Problem?" – Line Graph Analysis

Given:
A line graph showing temperature over a week (M–F) with:
- Monday: 80°F
- Tuesday: 76°F
- Wednesday: 72°F
- Thursday: 68°F
- Friday: 64°F

(Note: The graph shows a steady decrease.)

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#### 1. What was the general trend of noonday temperatures during the week?

Answer:
The temperature decreased steadily each day.

Explanation:
From Monday to Friday, the temperature dropped by 4°F each day:
- Mon → Tue: 80 → 76 (-4°F)
- Tue → Wed: 76 → 72 (-4°F)
- Wed → Thu: 72 → 68 (-4°F)
- Thu → Fri: 68 → 64 (-4°F)

So, the general trend is a steady decline of 4°F per day.

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#### 2. What was the change of temperature between Monday and Friday at noon?

Answer:
16°F decrease

Explanation:
- Monday: 80°F
- Friday: 64°F
- Change = 80 - 64 = 16°F drop

So, the temperature decreased by 16°F from Monday to Friday.

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✔ Final Answers Summary:

#### Problem 1:
1. Graph: Plot points and connect them — two upward-sloping lines, each rising 2°F/day.
2. General pattern: Temperature increased by 2°F each day for both weeks.
3. Greatest change: All consecutive days changed by 2°F — no single greatest change.

#### Problem 2:
1. General trend: Temperatures decreased steadily by 4°F each day.
2. Change from Monday to Friday: 16°F decrease.

Let me know if you'd like a visual description of the graph or help drawing it!