Question

During halftime at a football game, the home team’s band performed. Jerry counted nine band members standing between the five- and ten-yard lines closest to the home team’s goal. If Jerry assumes that the band members are evenly distributed across the entire playing field, how many band members are standing on the 100-yard field?

Answer 1

To find the number of band members standing on the 100-yard field, we divide the number of band members between the 5- and 10-yard lines by the total number of 5-yard sections on the field.

Step-by-step explanation:

To find the number of band members standing on the 100-yard field, we need to determine the total number of band members and then calculate the proportion standing on the 100-yard field. Jerry counted that there were nine band members standing between the five- and ten-yard lines closest to the home team's goal.

First, we need to determine the total number of 5-yard sections on the field. The field is 100 yards long, so there are 20 sections (100 yards divided by 5 yards per section).

Next, we can find the proportion of band members standing on the 100-yard field by dividing the number of band members between the 5- and 10-yard lines by the total number of 5-yard sections. In this case, it is 9 band members divided by 20 sections, which equals 0.45. Finally, we can multiply this proportion by the total number of band members to find the number of band members standing on the 100-yard field. If we assume there are a total of X band members, the number of band members on the 100-yard field would be 0.45*X.