Final answer:
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.