Question

A square lawn has a length of 8 feet and a width of 8 feet. Eight researchers each examine a randomly chosen
region of the field; all regions are square with length and width of one foot. The researchers count the number of
seedlings in each region that have reached a height of at least 2 inches. The table below shows the resulting data,
Region
1 2 3 4
Number of seedlings 82 87
95 99
Region
5 6 7 8
Number of seedlings 102 106 111 115
Which of the following best approximates the number of seedlings that are at least 2 inches high in the entire
lawn? O
A. 80
B. 640
C. 800
D. 6,400

Answer 1

The best approximation to the number of seedlings that are at least 2 inches high in the entire lawn is:

• D. 6,400

Total Seedlings Calculation.

To identify the total number of seedling in the entire lawn, first you must add all the seedling counted by the researchers:

• Counted seedlings = 82 + 87 + 95 + 99 + 102 + 106 + 111 + 115
• Counted seedlings = 697

Now, you must divide 697 in the number of regions taken by the researchers ( in this case were 8), this to obtain the average:

• Average seedlings by region = $\frac{697}{8}$
• Average seedlings by region = 87.125

Now, how we know, the entire lawn has a length of 8 feet and a width of 8 feet, it means 64 regions of one feet by one feet, by this reason, we multiply the average of seedlings by the whole regions in the lawn:

• Number of seedlings in the lawn = 87.125 * 64
• Number of seedlings in the lawn = 5576

Taking into account the average of seedlings is 5576, the best approximates of seedlings that are at least 2 inches high in the entire lawn is 6400.

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