Final answer:
Clark needs to jump at least 3 inches farther to break the high school track team's long jump record, as the difference between his best jump and the record is 2.75 inches.
Step-by-step explanation:
Clark's current best long jump is 23 ft 8(1/2) inches, and the school record is 23 ft 11(1/4) inches. To determine how much farther Clark must jump to break the record, we need to calculate the difference in the lengths of the two jumps. First, we convert the measurements to inches (1 ft = 12 inches) and then find the difference:
- School record in inches: (23 × 12) + 11 + (1/4) = 276 + 11 + 0.25 = 287.25 inches
- Clark's jump in inches: (23 × 12) + 8 + (1/2) = 276 + 8 + 0.5 = 284.5 inches
The difference between the school record and Clark's jump is 287.25 inches - 284.5 inches = 2.75 inches. Since long jumps are measured to the nearest quarter inch, Clark must jump at least 3 inches more to ensure breaking the record.