Joint Variation

Write the given statement in mathematical equation. (no spacing)

r varies jointly as s and w

Write the given statement in mathematical equation. (no spacing)

Interest (I) varies jointly as the principal (P) amount deposited, the rate (r) and time (t) of the deposit.

Solve for the constant of variation, k. (Use / for the fraction bar)

y varies jointly as x and z. x= -2, when y=3 and z= -4

Solve for the constant of variation, k. (Use / for the fraction bar)

z varies jointly as x and y. x=3, when y=-8 and z=6.

y varies jointly as x and z.

If y= -40 when x= -2 and z= -1, find y when x=4 and z= -3.

m varies jointly as n and p.

If m=36 when n=3 and p=4, find n if m=96 and p=4.

Kinetic energy Ke varies jointly as the mass m and the square of the velocity V. A mass of 7 grams and a velocity of 4cm/s has a kinetic energy of 80 ergs. Find the kinetic energy for a mass of 9 grams and a velocity of 5 cm/s. (Write your final answer in fraction and of the form __ ergs)

The price P of an aluminum tube is jointly proportional to its radius r and the length l. If a 12-foot pipe with 5-inch radius costs 5250 pesos, how much will be the cost of a 9-foot pipe with a 6-inch radius? (Write your final answer without comma in the form: __ pesos)