Final answer:
Michael walks 3,080 more yards than Kayla each day after work, calculated by converting their distances from miles to yards and subtracting Kayla's walking distance from Michael's.
Step-by-step explanation:
To calculate how many more yards Michael walks each day after work than Kayla, we need to convert their walking distances from miles to yards. First, we'll establish that there are 1,760 yards in a mile.
Kayla walks 3 miles to get home, which is 3 miles × 1,760 yards/mile = 5,280 yards.
Michael walks 4.75 miles to get home, which is 4.75 miles × 1,760 yards/mile = 8,360 yards.
To find out how many more yards Michael walks than Kayla, subtract Kayla's distance from Michael's: 8,360 yards - 5,280 yards = 3,080 yards.
Therefore, Michael walks 3,080 more yards than Kayla each day after work.