To determine how much farther John must jump to break the record, we first need to convert both John's jump and the record jump from feet and inches to only inches.
The record jump is:
- Record Jump: 22 ft 2 2/4 in
First, we convert 2 2/4 inches (which is equivalent to 2.5 inches): \[ 2 + 2.5 = 4.5 \text{ inches} \] Now, convert the feet to inches: \[ 22 \text{ ft} = 22 \times 12 = 264 \text{ inches} \] Adding it all together gives us the total for the record: \[ 264 + 4.5 = 268.5 \text{ inches} \]
Next, we convert John's jump:
- John's Jump: 21 ft 9 1/2 in
First, we convert 9 1/2 inches (which is equivalent to 9.5 inches): Now, convert the feet to inches: \[ 21 \text{ ft} = 21 \times 12 = 252 \text{ inches} \] Adding it all together gives us the total for John's jump: \[ 252 + 9.5 = 261.5 \text{ inches} \]
Now, we find out how much farther John needs to jump to break the record: \[ \text{Difference} = \text{Record Jump} - \text{John's Jump} = 268.5 - 261.5 = 7 \text{ inches} \]
Therefore, John must jump 7 inches farther to break the record.