A farmer has 160 bushels of apples for sale at a​ farmer's market. He sells an average of 16&5/8

bushels each day. After 7 ​days, what is the change in the total number of bushels the farmer has for sale at the​ farmer's market?

The farmer sells 16&5/8 bushels each day and there are 7 days in a week, so he sells 16&5/8 * 7 = <<16&5/8*7=116>>116 bushels in 7 days.

He had 160 bushels to begin with, so the change is 160 - 116 = <<160-116=44>>44 bushels. Answer: \boxed{44}.

To find the change in the total number of bushels the farmer has for sale at the farmer's market after 7 days, we need to subtract the number of bushels sold from the initial number of bushels.

Initial number of bushels = 160 bushels
Average number of bushels sold each day = 16 & 5/8 bushels

To find the total number of bushels sold after 7 days, we multiply the average number of bushels sold per day by 7.

Total number of bushels sold after 7 days = (16 & 5/8) * 7
= 115.625 bushels * 7
= 809.375 bushels

To find the change in the total number of bushels, we subtract the total number of bushels sold from the initial number of bushels.

Change in total number of bushels = Initial number of bushels - Total number of bushels sold after 7 days
= 160 bushels - 809.375 bushels
= -649.375 bushels

The change in the total number of bushels the farmer has for sale after 7 days is -649.375 bushels. This means the farmer has 649.375 fewer bushels for sale at the farmer's market.