B varies directly as m and inversely as n, and B = 44 when m = 11 and n = 3. Find B when m = 15 and n = 16.
A) $B = \frac { 3 } { 4 }$
B) $B = \frac { 15 } { 16 }$
C) $B = \frac { 45 } { 4 }$
D) $B = 12$

Question

B varies directly as m and inversely as n, and B = 44 when m = 11 and n = 3. Find B when m = 15 and n = 16. 
A) $B = \frac { 3 } { 4 }$
B) $B = \frac { 15 } { 16 }$
C) $B = \frac { 45 } { 4 }$
D) $B = 12$

Quizplus · Accepted Answer

The relationship is $ B = k \frac{m}{n} $. Given $ B = 44 $, $ m = 11 $, $ n = 3 $, we find $ k = 12 $. For $ m = 15 $, $ n = 16 $, $ B = 12 \frac{15}{16} = \frac{180}{16} = \frac{45}{4} $.

B Varies Directly as M and Inversely as N, and B