Kelly Smith

02/14/2023 · Primary School

B. Solve the following 1. If \( r \) varies directly as \( s \) and inversely as the square of \( u \), and \( r=2 \) when \( s=18 \) and \( u=2 \), find: a. \( r \) when \( u=3 \) and \( s=27 \). b. \( s \) when \( u=2 \) and \( r=4 \). c. \( u \) when \( r=1 \) and \( s=36 \). 2. \( p \) varies directly as \( q \) and the square of \( r \) and inversely as \( s \). a. Write the equation of the relation. b. Find \( k \) if \( p=40 \) when \( q=5, r=4 \) and \( s=6 \). c. Find \( p \) when \( q=8, r=6 \) and \( s=9 \). d. Find \( s \) when \( p=10, q=5 \) and \( r=2 \). 3. \( w \) varies directly as \( x \) and \( y \) and inversely as \( v^{2} \) and \( w=1200 \) when \( x=4, y=9 \) and \( v=6 \). Find \( w \) when \( x=3, y=12 \), and \( v=9 \). 4. Suppose \( p \) varies directly as \( b^{2} \) and inversely as \( s^{3} \). If \( p=\frac{3}{4} \) when \( b=6 \) and \( s=2 \), find \( b \) when \( p=.6 \) and \( s=4 \). 5. If \( x \) varies as the square of \( y \) and inversely as \( z \) and \( x=12 \) when \( y=3 \) and \( z=6 \), find \( x \) when \( y=9 \) and \( z=6 \).