A botany student counted 11 blades of grass in one square centimeter of
lawn and measured the lawn as a rectangle 61 m by 31 m. She reported
that there were 208,010,000 blades of grass in the lawn. The precision
of her conclusion:
A. correctly represents her measurements.
B. is less than her measurements warrant.
C. could be greater if she used a more precise calculator.
D. is excessive given her measurements
Answer: D
No. Did you change the meters to centimeters?
so it is C
What did you figure as the number of blades of grass?
Yes, A.
To determine the precision of the conclusion, we need to examine the factors that contribute to it.
First, let's calculate the area of the lawn in square centimeters:
Area = length × width = (61 m × 100 cm/m) × (31 m × 100 cm/m) = 61,000 cm × 31,000 cm = 1,891,000,000 cm²
Next, let's calculate the total number of blades of grass in the lawn based on the student's count per square centimeter:
Number of blades of grass = count per square centimeter × area = 11 blades/cm² × 1,891,000,000 cm² = 20,801,000,000 blades
Comparing this calculation to the reported count of 208,010,000 blades, we can see that they are significantly different.
Therefore, the precision of the conclusion is excessive given her measurements. The reported count is much lower than the calculated count, showing a lack of accuracy in her conclusion.
Answer: D. is excessive given her measurements.