What happens to SA:V ratio as cell side length (cell size) continues to increase? Plot these two sets of values according to the directions below to see what the trend is when cell side length continues to increase.  1. Plot a line graph of SA:V ratio on the y-axis and cell side length on the x-axis. 2. Log transform the y-axis to make the relationship more clear using the following steps. a. Click on the y-axis values; a box will appear around the values. b. Right click inside the box and choose the Format Axis command from the shortcut menu that appears. c. When the Format Axis dialog box appears, select the Axis Options entry from the list box. d. Enter the values from the screenshot in the Axis Options. 3. Properly title and label this graph.

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What happens to SA:V ratio as cell side length (cell size) continues to increase? Plot these two sets of values according to the directions below to see what the trend is when cell side length continues to increase. 

1. Plot a line graph of SA:V ratio on the y-axis and cell side length on the x-axis.

2. Log transform the y-axis to make the relationship more clear using the following steps.

a. Click on the y-axis values; a box will appear around the values.

b. Right click inside the box and choose the Format Axis command from the shortcut menu that appears.

c. When the Format Axis dialog box appears, select the Axis Options entry from the list box.

d. Enter the values from the screenshot in the Axis Options.

3. Properly title and label this graph.

4. Explain what happens to the surface area to volume ratio as cell side length (cell size) continues to increase. What are the implications for very large cells? What are the implications for very small cells?

 

(Use excel spreadsheet)

Table 3: Effect of side length on surface area and volume.
Side Length (mm) Surface Area (mm?)
Volume (mm³)
SA:V ratio
1:1 SA ratio
0.0001
0.000000006
0.000000000001
60000
0.00000006
0.001
0.000006
0.000000001
6000
0.000006
0.01
0.0006
0.000001
600
0.0006
0.1
0.06
0.001
60
0.06
1
6
1
6.
150
125
1.2
150
10
600
1000
0.6
600
15
1350
3375
0.4
1350
20
2400
8000
0.3
2400
Transcribed Image Text:Table 3: Effect of side length on surface area and volume. Side Length (mm) Surface Area (mm?) Volume (mm³) SA:V ratio 1:1 SA ratio 0.0001 0.000000006 0.000000000001 60000 0.00000006 0.001 0.000006 0.000000001 6000 0.000006 0.01 0.0006 0.000001 600 0.0006 0.1 0.06 0.001 60 0.06 1 6 1 6. 150 125 1.2 150 10 600 1000 0.6 600 15 1350 3375 0.4 1350 20 2400 8000 0.3 2400
Format Axis
Axis Options v
Text Options
1 Axis Options
Bounds
Minimum
0.1
Auto
Maximum
60000.0
Reset
Units
Major
10.0
Reset
Minor
10.0
Auto
Horizontal axis crosses
O Automatic
O Axis value
0.1
Maximum axis value
Display units
None
Show display units label on chart
V Logarithmic scale
Base
10
Values in reverse order
D Tick Marks
D Labels
D Number
Transcribed Image Text:Format Axis Axis Options v Text Options 1 Axis Options Bounds Minimum 0.1 Auto Maximum 60000.0 Reset Units Major 10.0 Reset Minor 10.0 Auto Horizontal axis crosses O Automatic O Axis value 0.1 Maximum axis value Display units None Show display units label on chart V Logarithmic scale Base 10 Values in reverse order D Tick Marks D Labels D Number
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