Answer :
Final answer:
To find Jack's height when he can long jump 195 percent of his height for a distance of 97.5 inches, we divide the jump distance by 1.95. The calculation shows that Jack's height is 50 inches.
Explanation:
The question asks us to determine Jack's height based on the information that Jack can long jump 195 percent of his height with a running start and that his long jump distance is 97.5 inches. To find Jack's height, we need to set up an equation that relates his height to the jump distance.
Let's represent Jack's height as 'h'. Since Jack jumps 195 percent of his height, we can express the jump distance as 1.95h (because 195 percent is the same as 1.95 in decimal form). We know that Jack's long jump distance is 97.5 inches, so our equation becomes:
1.95h = 97.5 inches
To solve for Jack's height, we divide both sides of the equation by 1.95:
h = 97.5 inches / 1.95
h = 50 inches
Therefore, Jack is 50 inches tall.
