Let’s solve this step by step.
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Part 1: Bar Graph (Deer per Month)
We are given data for number of deer each month from September to February.
Months and deer counts:
- Sept: 38
- Oct: 32
- Nov: 26
- Dec: 20
- Jan: 15
- Feb: 12
Trend: As the months go on (from fall to winter), the number of deer decreases steadily. So, the trend is
decreasing over time.
Now, answer the questions:
1.
Independent variable? → This is what we’re changing or measuring against — here it’s
Month.
2.
Dependent variable? → This is what we’re measuring —
Number of deer.
3.
Appropriate title? → Something like “Number of Deer Observed Each Month” or “Deer Population by Month”.
4.
Average number of deer per month?
Add all deer numbers:
38 + 32 = 70
70 + 26 = 96
96 + 20 = 116
116 + 15 = 131
131 + 12 =
143
Divide by number of months (6):
143 ÷ 6 =
23.83… ≈ 23.8 (or round to nearest whole number if needed — but let’s keep one decimal)
Actually, since these are counts of animals, maybe they expect rounding to whole number? But mathematically, average can be decimal. Let’s write
23.8 unless told otherwise.
Wait — let me check again:
38+32=70; 70+26=96; 96+20=116; 116+15=131; 131+12=143 → yes.
143 ÷ 6 = 23.833... → so
23.8 is fine.
But sometimes in school, they might want it as a fraction or rounded. Since no instruction, I’ll use
23.8.
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Part 2: Line Graph (Bacteria Over Days)
Data:
Day | Bacteria
1 | 4
2 | 16
3 | 40
4 | 80
5 | 100
6 | 200
Trend: The number of bacteria increases quickly at first, then slows down a bit between day 4–5, then jumps again at day 6. Overall, it’s
increasing, and not linear — looks exponential or accelerating growth.
So trend:
The number of bacteria increases rapidly over time.
Questions:
1.
Independent variable? →
Days (what we’re tracking against)
2.
Dependent variable? →
Number of Bacteria (what changes based on days)
3.
Appropriate title? → “Growth of Bacteria Over Time” or “Bacteria Count by Day”
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Final Answers:
For Part 1:
- Trend: Decreasing
- Independent variable: Month
- Dependent variable: Number of deer
- Title: Number of Deer Per Month
- Average: 23.8
For Part 2:
- Trend: Increasing rapidly
- Independent variable: Days
- Dependent variable: Number of Bacteria
- Title: Bacteria Growth Over Days
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Final Answer:
**Part 1 Trend: Decreasing
Independent Variable: Month
Dependent Variable: Number of deer
Title: Number of Deer Per Month
Average: 23.8
Part 2 Trend: Increasing rapidly
Independent Variable: Days
Dependent Variable: Number of Bacteria
Title: Bacteria Growth Over Days**
Parent Tip: Review the logic above to help your child master the concept of graph worksheet graphing and intro to science.