Answer: Garrick's plant is shorter than Zan's plant.
Each millimeter of error results in a 11.11% percent error.
Garrick's measurement was 2 millimeters off and Zan's was 12 millimeters off.
Garrick's measurement was 20% off and Zan's was 12% off.
Step-by-step explanation:
Since we have given that
In case of Garrick's plant:
Actual height of his plant = 10 mm
Measured height of his plant = 8 mm
In case of Zan's plant :
Actual height of his plant = 100 mm
Measured height of his plant = 88 mm
So, clearly Garrick's plant is shorter than Zan's plant.
Difference in actual height of plants of Garrick and Zan is
[tex]100\ mm-10\ mm=90\ mm[/tex]
similarly, difference in measured heights of plants of Garrick and Zan is
[tex]88\ mm-8\ mm\\\\=80\ mm[/tex]
Percent error will be
[tex]\frac{90-80}{90}\times 100\\\\=\frac{10}{90}\times 100\\\\=11.11\%[/tex]
So, Each millimeter of error results in a 11.11% percent error.
Error in Garrick's plant :
[tex]Actual-Measured\\\\=10-8\\\\=2\ mm[/tex]
Percent error is given by
[tex]\frac{2}{10}\times 100\\\\=20\%[/tex]
Similarly,
Error in Zan's plant ;
[tex]Actual-Measured\\\\=100-88\\\\=12\ mm[/tex]
Percent error is given by
[tex]\frac{12}{100}\times 100\\\\=12\%[/tex]
Garrick's measurement was 2 millimeters off and Zan's was 12 millimeters off.
So, Garrick's measurement was 20% off and Zan's was 12% off.