SOLUTION: Suppose a quarterback has a completion percentage, P, that is inversely proportional to the square root of the length of the throw, L. When the length of the throw is 25 yards, the

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Suppose a quarterback has a completion percentage, P, that is inversely proportional to the square root of the length of the throw, L. When the length of the throw is 25 yards, the      Log On


   

Question 983859: Suppose a quarterback has a completion percentage, P, that is inversely proportional to the square root of the length of the throw, L. When the length of the throw is 25 yards, the quarterback's completion percentage is 40%. What will be the quarterbacks's completion percentage for throws that have a length of 16 yards?
Thank you!!
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+P+=+k%2A%28+1%2FL+%29+
( +k+ is the constant of propotionality )
given:
+L+=+25+
+P+=+.4+
-----------
+.4+=+k%2A%28+1%2F25+%29+
+k+=+25%2A.4+
+k+=+10+
------------
Whern +L+=+16+
+P+=+k%2A%28+1%2FL+%29+
+P+=+10%2A%28+1%2F16+%29+
+P+=+10%2F16+
+P+=+5%2F8+
The completion percentage is:
+%28+5%2F8+%29%2A100+=+62.5+
62.5%

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Suppose a quarterback has a completion percentage, P, that is inversely proportional to the square root of the length of the throw, L. When the length of the throw is 25 yards, the quarterback's completion percentage is 40%. What will be the quarterbacks's completion percentage for throws that have a length of 16 yards?
Thank you!!
Completion percent for 16-yard throws: highlight_green%2850%29