A high school track team's long jump record is 24 ft 9 1/4 in. This year, Arthur's best long jump is 24 ft 3 1/2 If long jumps are measured to the nearest quarter inch, how much farther must jump to break the record?

5 3/4 inches

Step-by-step explanation:

Given that :

Long jump record held = 24 ft 9 1/4 in

Arthur's best long jump record = 24 ft 3 1/2 in

How much further must ARTHUR jump to brake the record :

Long jump record - Arthur's best jump

[24 ft 9 1/4 in] - [24 ft 3 1/2 in]

24 ft - 24 ft = 0

9 1/4 in - 3 1/2 in

37 / 4 in - 7 /2 in

L. C. M of 4 and 2 = 4

(37 - 14) / 4 inches

23 /4 inches

= 5 3/4 inch

y=mx+b is the final answer!   : )