Graph displaying the number of deer counted each month over six months.

You've provided a worksheet titled "Graphing & Intro to Science" with two parts: one involving a bar graph and the other a line graph. Let's go through each section, verify the answers, explain the reasoning, and ensure everything is correct.

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✔ Part A: Bar Graph – Deer Population per Month

#### Data Table:
| Month | # of Deer |
|---------|-----------|
| Sept | 38 |
| Oct | 32 |
| Nov | 26 |
| Dec | 20 |
| Jan | 15 |
| Feb | 12 |

#### Bar Graph:
- The bar graph is correctly drawn.
- X-axis: Months (September to February)
- Y-axis: Number of Deer (scaled from 0 to 40 in increments of 5)
- Bars are proportional to the values.
- Title: "THE NUMBER OF DEERS PER MONTH" — correct and descriptive.

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🔍 Questions for Part A:

1. What is the independent variable?
→ MONTH
✔ Correct. The month is what we're observing or setting; it's not affected by the number of deer.

2. What is the dependent variable?
→ NO. OF DEERS
✔ Correct. The number of deer depends on the month (e.g., changes over time).

3. What is an appropriate title?
→ THE NUMBER OF DEERS PER MONTH
✔ Perfect. It clearly describes what the graph shows.

4. What is the average number of deer per month?
→ 28.83
Let’s verify this:

$$
\text{Average} = \frac{38 + 32 + 26 + 20 + 15 + 12}{6} = \frac{143}{6} ≈ 23.83
$$

✘ Wait! This is incorrect.
Let's recalculate:
- Sum: 38 + 32 = 70
70 + 26 = 96
96 + 20 = 116
116 + 15 = 131
131 + 12 = 143
- Number of months: 6
- Average: $ \frac{143}{6} = 23.83 $

So, the correct average is 23.83, not 28.83.

✘ Error in the answer.
➤ The student likely made a calculation mistake.

✔ Correct Answer: 23.83 (rounded to two decimal places)

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✔ Part B: Line Graph – Bacterial Growth Per Day

#### Data Table (from image):
| # of Days | # of Bacteria |
|----------|---------------|
| 1 | 4 |
| 2 | 16 |
| 3 | 60 |
| 4 | 120 |
| 5 | 240 |
| 6 | 500 |

#### Line Graph:
- X-axis: Number of days (1–6)
- Y-axis: Number of bacteria (scaled appropriately, up to 500)
- Points plotted correctly and connected with a line showing exponential growth.
- Title: BACTERIAL GROWTH PER DAY — good and clear.

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🔍 Questions for Part B:

1. What is the independent variable?
→ NO. OF DAYS
✔ Correct. Time (days) is controlled and not influenced by bacterial count.

2. What is the dependent variable?
→ NO. OF BACTERIA
✔ Correct. The number of bacteria increases as days pass — it depends on time.

3. What is an appropriate title?
→ BACTERIAL GROWTH PER DAY
✔ Excellent. Clearly states the relationship being shown.

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📝 Summary of Corrections and Explanations:

| Section | Question | Student Answer | Correctness | Notes |
|--------|---------|----------------|-------------|-------|
| A4 | Average number of deer per month | 28.83 | ✘ Incorrect | Should be 23.83 |
| All others | | | ✔ Correct | Well done! |

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✔ Final Answers (Corrected):

#### Part A:
1. Independent variable: MONTH
2. Dependent variable: NO. OF DEERS
3. Title: THE NUMBER OF DEERS PER MONTH
4. Average:
$$
\frac{38 + 32 + 26 + 20 + 15 + 12}{6} = \frac{143}{6} = \boxed{23.83}
$$

#### Part B:
1. Independent variable: NO. OF DAYS
2. Dependent variable: NO. OF BACTERIA
3. Title: BACTERIAL GROWTH PER DAY

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💡 Tips for Future:

- Always double-check arithmetic, especially when calculating averages.
- Remember:
- Independent variable = what you change or observe (usually on x-axis).
- Dependent variable = what responds to that change (on y-axis).
- Titles should include both variables and describe the relationship.

Let me know if you'd like this turned into a printable worksheet or need help creating similar problems!