Question

The average number of tickets sold to a concert this season was 6,445. If any individual event varied by 5.2%, what was the lowest and highest number of tickets sold?

A) 6,393 to 6,497 tickets
B) 6,439 to 6,450 tickets
C) 6,440 to 6,450 tickets
D) 6,109 to 6,780 tickets

Answer 1

The range of ticket sales varying by 5.2% from the average of 6,445 is from 6,109 to 6,780 tickets, which is answer choice D.

Step-by-step explanation:

To find the lowest and highest number of tickets sold based on a given average number sold and a percentage variation, you calculate a decrease and increase of 5.2% from the average. The average number of tickets sold is 6,445. To find the lowest number, you calculate 6,445 - 0.052 × 6,445, which equals approximately 6,445 - 335.54 or about 6,109 tickets when rounded to the nearest whole ticket. For the highest number, you calculate 6,445 + 0.052 × 6,445, which equals approximately 6,445 + 335.54 or about 6,780 tickets when rounded to the nearest whole ticket.

Therefore, the range of tickets sold with 5.2% variation from the average is from the lowest possible number to the highest possible number, making the correct answer D) 6,109 to 6,780 tickets.