Line Graphs Worksheets | Worsheets library - Free Printable

Problem Analysis:

The task involves analyzing the growth of a plant over five weeks and answering questions based on the provided data. The data is presented in a table, and we are asked to draw a line graph using this data and answer specific questions about the plant's growth.

#### Given Data:
- Week 1: Height = 2 cm
- Week 2: Height = 5 cm
- Week 3: Height = 8 cm
- Week 4: Height = 11 cm
- Week 5: Height = 14 cm

Step-by-Step Solution:

#### 1. How tall was the plant in week 2?
- From the table, the height of the plant in week 2 is 5 cm.
- Answer: 5 cm

#### 2. How much had the plant grown from week 1 to week 2?
- Height in week 1: 2 cm
- Height in week 2: 5 cm
- Growth from week 1 to week 2 = Height in week 2 − Height in week 1
- Growth = 5 cm − 2 cm = 3 cm
- Answer: 3 cm

#### 3. How much had the plant grown from week 2 to week 4?
- Height in week 2: 5 cm
- Height in week 4: 11 cm
- Growth from week 2 to week 4 = Height in week 4 − Height in week 2
- Growth = 11 cm − 5 cm = 6 cm
- Answer: 6 cm

#### 4. How much had the plant grown from week 1 to week 5?
- Height in week 1: 2 cm
- Height in week 5: 14 cm
- Growth from week 1 to week 5 = Height in week 5 − Height in week 1
- Growth = 14 cm − 2 cm = 12 cm
- Answer: 12 cm

#### 5. On week 6, do you think the plant would be around 21 cm or 17 cm?
- To estimate the height in week 6, let's analyze the pattern of growth:
- Week 1 to Week 2: Growth = 5 cm − 2 cm = 3 cm
- Week 2 to Week 3: Growth = 8 cm − 5 cm = 3 cm
- Week 3 to Week 4: Growth = 11 cm − 8 cm = 3 cm
- Week 4 to Week 5: Growth = 14 cm − 11 cm = 3 cm
- The plant grows consistently by 3 cm each week.
- If this trend continues, the growth from week 5 to week 6 will also be 3 cm.
- Height in week 6 = Height in week 5 + 3 cm
- Height in week 6 = 14 cm + 3 cm = 17 cm
- Answer: 17 cm

Drawing the Line Graph:

To draw the line graph:
1. Label the x-axis as "Week" and the y-axis as "Height in centimeters (cm)."
2. Plot the points corresponding to the data:
- (Week 1, 2 cm)
- (Week 2, 5 cm)
- (Week 3, 8 cm)
- (Week 4, 11 cm)
- (Week 5, 14 cm)
3. Connect these points with a straight line to represent the growth trend.

Final Answers:

1. 5 cm
2. 3 cm
3. 6 cm
4. 12 cm
5. 17 cm

Boxed Final Answer:
\[
\boxed{5, 3, 6, 12, 17}
\]