Schmidt Chang
06/26/2024 · Middle School

A. Translate each statement into a mathematical sentence. Use \( k \) as the constant of variation. 1. \( P \) varies jointly as \( q \) and \( r \). 2. \( V \) varies jointly with \( l, w \) and \( h \). 3. The area \( A \) of a parallelogram varies jointly as the base \( b \) and altitude \( h \). 4. The volume of a cylinder \( V \) varies jointly as its height \( h \) and the square of the radius \( r \). 5. The heat \( H \) produced by an electric lamp varies jointly as the resistance \( R \) and the squa of the current \( i \). 6. The force \( F \) applied to an object varies jointly as the mass \( m \) and the acceleration \( a \). 7. The volume \( V \) of a pyramid varies jointly as the area of the base \( B \) and the altitude \( h \) 8. The area \( A \) of a triangle varies jointly as the base \( b \) and the altitude \( h \). 9. The appropriate length \( s \) of a rectangular beam varies jointly as its width \( w \) anc depth \( d \). 10. The electrical voltage \( V \) varies jointly as the current \( I \) and the resistance \( R \).

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1. \( P = kqr \) 2. \( V = klwh \) 3. \( A = kbh \) 4. \( V = khr^2 \) 5. \( H = kR i^2 \) 6. \( F = km a \) 7. \( V = kBh \) 8. \( A = kbh \) 9. \( s = kwd \) 10. \( V = kIR \)

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