Students were packed shoulder to shoulder in a gym for a pep rally. the students were in a rectangular shaped area of 7,500
ft. if each student on average took up a circular space with a diameter of 2.5 ft what is the best estimate for the number of
students at the pep rally?
a)600
b)900
c)1,200
d)1,800

c)1200

Step-by-step explanation:

Given: Students were packed shoulder to shoulder in a gym for a pep rally. The students were in a rectangular shaped area of ft.

To Find: If each student on average took up a circular space with a diameter of ft what is the best estimate for the number of  students at the pep rally.

Solution:

Consider the figures attached

A student took up a circular space, if they were packed in rows each student acquired a circular space of ft and left some unused area as given in figures

Now,

Area acquired by a student is a square of side ft as given in figure

Area acquired by single student

Total number of students            

there are approximately students in gym hence option b is correct.

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step-by-step explanation:

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if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.