Line graph worksheet for students to plot Sarah's height over time from age 2 to 16, including questions about her growth.

Let's solve the problem step by step using the data provided in the worksheet.

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Step 1: Plotting the Line Graph

We are given a table of Sarah’s height from age 2 to 16:

| Age | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
|-----|----|----|----|----|----|----|----|----|----|----|----|----|----|----|----|
| Height (in) | 34 | 37 | 40 | 42 | 44 | 46 | 50 | 54 | 57 | 61 | 63 | 64 | 65 | 66 | 67 |

To plot the line graph:
- On the x-axis, label ages from 2 to 16.
- On the y-axis, label heights from 30 to 70 inches.
- Plot each point (Age, Height), then connect them with straight lines.

For example:
- At age 2, height = 34 → plot (2, 34)
- At age 3, height = 37 → plot (3, 37)
- ...
- At age 16, height = 67 → plot (16, 67)

Then draw a line connecting all points in order.

> ✔ This is the first task — you would draw this on the grid provided.

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Step 2: At what age did Sarah’s height pass 5 feet tall?

We know:
- 1 foot = 12 inches
- So, 5 feet = 5 × 12 = 60 inches

Now check when her height exceeds 60 inches:

- At age 11: 61 inches → this is over 60 inches
- At age 10: 57 inches → less than 60

So, Sarah passed 5 feet tall at age 11.

✔ Answer: 11

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Step 3: True, False, or Can't Tell

#### a) Sarah’s growth was slowest from age 12 to 16.

Let’s calculate the growth per year in different periods.

- From age 12 to 16:
- Heights: 63 → 64 → 65 → 66 → 67
- Growth:
- 12→13: +1 inch
- 13→14: +1 inch
- 14→15: +1 inch
- 15→16: +1 inch
- Total: +4 inches over 4 years → 1 inch per year

Now compare to other periods:

- Age 2–3: 34 → 37 → +3 in
- Age 3–4: 37 → 40 → +3 in
- Age 4–5: 40 → 42 → +2 in
- Age 5–6: 42 → 44 → +2 in
- Age 6–7: 44 → 46 → +2 in
- Age 7–8: 46 → 50 → +4 in
- Age 8–9: 50 → 54 → +4 in
- Age 9–10: 54 → 57 → +3 in
- Age 10–11: 57 → 61 → +4 in
- Age 11–12: 61 → 63 → +2 in

So, from age 12–16, she grew only 1 inch per year, which is slower than most earlier years.

✔ True — her growth was slowest during 12–16.

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#### b) Between age 2 and age 16, Sarah’s height had doubled.

- At age 2: 34 inches
- At age 16: 67 inches

Is 67 ≥ 2 × 34?

2 × 34 = 68

67 < 68 → so not quite doubled

She went from 34 to 67 → about 1.97 times her original height.

So, did not double.

✔ False

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#### c) Between age 5 and 9, Sarah had become a foot taller.

- 1 foot = 12 inches
- At age 5: 42 inches
- At age 9: 54 inches
- Difference: 54 – 42 = 12 inches → exactly one foot

✔ True

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✔ Final Answers:

1) Plot the graph using the data (you would draw it on the grid).

2) At age 11, Sarah’s height passed 5 feet tall.

3)
a) True
b) False
c) True

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Let me know if you'd like a visual representation of the graph!