Final answer:
Corey should convert the length of one board to feet, multiply by the total number of boards needed, and then round up to determine he should buy 95 feet of boards.
Step-by-step explanation:
Calculating the Total Feet of Boards
To determine how many feet of boards Corey should buy, first we need to convert the length of one board from inches to feet. There are 12 inches in a foot, so we divide 47.5 inches by 12 to convert it to feet:
47.5 inches ÷ 12 inches/foot = 3.9583 feet per board (rounded to 4 decimal places)
Now we multiply the length of one board by the total number of boards Corey needs:
3.9583 feet/board × 24 boards = 94.9992 feet
Since lumber is typically sold by the foot, it's best to round up to the next full foot to ensure Corey has enough material. Therefore, Corey should buy 95 feet of boards.