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2. A number of bean seeds planted at the same time produced plants that were later divided into two groups, [tex]$A$[/tex] and [tex]$B$[/tex]. Each plant in group [tex]$A$[/tex] was treated with the same concentration of gibberellic acid (a plant hormone). The plants in group [tex]$B$[/tex] were not treated with gibberellic acid. All other growth conditions were kept constant. The height of each plant was measured on 5 consecutive days, and the average height of each group was recorded in the data table below.

\begin{tabular}{|c|c|c|c|c|c|}
\hline
& \multicolumn{5}{|c|}{Average Plant Height (cm)} \\
\cline{2-6}
& Day 1 & Day 2 & Day 3 & Day 4 & Day 5 \\
\hline
Group A & 6 & 7 & 10 & 13 & 15 \\
\hline
Group B & 6 & 6.5 & 7 & 7.5 & 8 \\
\hline
\end{tabular}

Using the information in the data table, construct a line graph on the grid, following the directions below.

a. Mark an appropriate scale on the axis labeled "Average Plant Height [tex]$(\text{cm})$[/tex]."

b. Plot the data for the average height of the plants in group [tex]$A$[/tex]. Surround each point with a small circle and connect the points.

c. Plot the data for the average height of the plants in group [tex]$B$[/tex]. Surround each point with a small triangle and connect the points.

d. The dependent variable in this investigation is the:
1. days
2. average plant height
3. gibberellic acid
4. group B

e. State a valid conclusion that can be drawn concerning the effect of gibberellic acid on bean plant growth.



Answer :

GinnyAnswer
Alright, let's approach this problem step-by-step.

### Step 1: Axis Scaling and Labeling

a. Scale for the axis labeled "Average Plant Height (cm)":
- Since the average plant height ranges from 6 cm to 15 cm, an appropriate scale could be from 0 cm to 20 cm to ensure all points fit comfortably on the graph.

### Step 2: Plotting Data

b. Plotting Group A Data:
- Day 2: Height = 7 cm
- Day 3: Height = 10 cm
- Day 4: Height = 13 cm
- Day 5: Height = 15 cm

Use small circles to mark each point:
- (2, 7), (3, 10), (4, 13), (5, 15)

Then, connect these points with a line.

c. Plotting Group B Data:
- Day 2: Height = 6 cm
- Day 3: Height = 6.5 cm
- Day 4: Height = 7 cm
- Day 5: Height = 7.5 cm

Use small triangles to mark each point:
- (2, 6), (3, 6.5), (4, 7), (5, 7.5)

Then, connect these points with a line.

### Step 3: Identifying the Dependent Variable

d. The dependent variable in this investigation is the:
- (1) days
- (2) average plant height
- (3) gibberellic acid
- (4) group B

The dependent variable is the average plant height, as it changes in response to the independent variable, which is the treatment with gibberellic acid.

### Step 4: Stating a Conclusion

e. State a valid conclusion:

Based on the plotted data:
- Group A (treated with gibberellic acid) shows significant growth over the days, from 7 cm to 15 cm.
- Group B (not treated with gibberellic acid) shows minimal growth, from 6 cm to 7.5 cm.

Conclusion:
Gibberellic acid increases the growth rate of bean plants, as observed from the higher average plant heights in group A compared to group B over the same period.

By thoroughly examining the average plant heights, we see that gibberellic acid positively affects bean plant growth. Group A, which was treated with the hormone, consistently showed greater increases in height compared to Group B, which was not treated.