Question

1 point

After the College Football Bowl Series Championship game, the winning team's fans stormed the field. The sports media estimated a 5'x5' sample contained 10 people.
Based on this observed sample, how many people crowded onto the field of play (not counting either end zone) to celebrate? (Note: not counting the end zones, the
dimensions of a football field are 100 yds. x 53 1/3 yds.)

Answer 1

Based on the 5'x5' sample that contained 10 people, we calculate the total field area in square feet and estimate there were approximately 19,200 people on the football field.

Step-by-step explanation:

To estimate how many people crowded onto the football field, we first need to calculate the area of the field in square feet. We know the field measures 100 yards by 53 1/3 yards, excluding the end zones. Since 1 yard equals 3 feet, we convert the dimensions to feet: 100 yards * 3 feet/yard = 300 feet in length and 53 1/3 yards * 3 feet/yard = 160 feet in width (approximately).

The area of the field in square feet is therefore 300 feet * 160 feet = 48,000 square feet.

The sample area where 10 people were found is 5 feet by 5 feet, which is 25 square feet. Using this sample, we can estimate the number of people on the field by dividing the total field area by the sample area and then multiplying by the number of people in the sample:

Total number of people = (48,000 sq ft / 25 sq ft) * 10 people = 19,200 people.

Thus, based on the observed sample, an estimated 19,200 people stormed onto the field to celebrate.