Question

Dr. Porterfield, Mr. Timarky and Mr. Halpayne with 15 other friends were watching a football game. It was discovered thathey occupied an area of space with a dimension 7ft by 8ft. Based on the information provided, estimate the number ofsuch people that will ocuupy an area of space 40ft by 6250ft.

Answer 1

In order to calculate how many people would occupy the space of 6250 ft by 40 ft we first need to find population density. To do that we divide the number of people occupying the area by the area they're occupying.

There are 15 friends and they occupy a rectangle with 7 ft by 8 ft. The area of the rectangle is given by the product of its dimmensions, so we have:

`\text{area = 7}\cdot8\text{ = }56ft^2`

The density will be the division of the number of people in that space by the value of the area.

`\text{density = }(15)/(56)\text{ = 0.26}79\text{ }(people)/(ft^(2))`

Assuming the density will be the same, we need to calculate the area of the second space to know how many people will be able to occupy it.

`area\text{2 = 40}\cdot6250\text{ = }250000\text{ ft²}`

To calculate the number of people occupying this area we need to multiply it by the density.

`\text{people = 250000}\cdot0.2679\text{ = }66975`

A total of 66,975 people would occupy that area.