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A parade route is 1 mile long. People have lined up 5 feet deep on BOTH sides of the street. Using the ratio of 2.5 square feet per person, estimate the number of people in the crowd.

A. 26 people

B. 132,000 people

C. 10,560 people

D. 21,160 people

A parade route is 1 mile long People have lined up 5 feet deep on BOTH sides of the street Using the ratio of 25 square feet per person estimate the number of p class=

Respuesta :

mathstudent55

Answer:

D 21,160 people

Step-by-step explanation:

Let's think of the route as a straight line 1 mile long. The area occupied by people is a rectangle on each side of the mile-long route. Each rectangle is 5 ft wide and 1 mile long. When you put both rectangles together, you have one rectangle that is 1 mile long and 10 feet wide. We find the area of the rectangle in square feet and divide by 2.5 square feet to find the number of people.

area of rectangle = length * width

A = 1 mile * 10 ft

We need to convert 1 mile into feet.

1 mile = 5280 feet

A = 5280 ft * 10 ft

A = 52,800 ft^2

The area of the rectangle is 52,800 ft^2. Since we are using a ratio of 2.5 square feet per person, we divide the area in square feet by 2.5 to find the number of people.

number of people = 52,800/2.5 = 21,120 people

The closest answer is D 21,160 people

Evadin2019

The number of people in the crowd is 21 260 people (D)

Further explanation

Given:

A parade route = 1 mile

Line up = 5 feet on BOTH sides

Ratio = 2.5 people/feet²

to estimate the number of people, first we will convert the miles into feet, because the ration use in this case using feet unit

we know that 1 miles = 5280 feet

Then we can calculate the crowd area

= 5 x 2 x 5280

= 52800 feet²

with ratio 2.5  feet²/person we can estimate the total crowd

= [tex]\frac{1}{2.5}* 52800[/tex]

= 21,120 people

the closest number is D. 21,160

Learn more

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Keywords: estimating the crowds, estimate the number of people in an area