joint variation

z varies jointly as x and y. If z=3 when x=3 and y=15, find z when x=6 and y=9 Varies jointly means there exists a constant k such that: z = kxy We're given z = 3 when x = 3 and y = 15, so we have: 3 = 15 * 3 * k 3 = 45k Using our equation solver, we see that: k = 1/15 So our joint variation...

Use k as the constant of variation. L varies jointly as u and the square root of v. Since u and v vary jointly, we multiply by the constant of variation k: l = ku * sqrt(v)

Z varies jointly as the 4th power of x and the 5th power of y The 4th power of x means we raise x to the power of 4: x^4 The 5th power of y means we raise y to the power of 5: y^5 The phrase varies jointly means we have a constant k such that: z = kx^4y^5

heat loss of a glass window varies jointly as the window's area and the difference between the outside and the inside temperature. a window 6 feet wide by 3 feet long loses 1,320 btu per hour when the temperature outside is 22 degree colder than the temperature inside. Find the heat loss...

If 100 runners went with 4 bicyclists and 5 walkers, how many bicyclists would go with 20 runners and 2 walkers? Set up a joint variation equation, for the 100 runners, 4 bicyclists, and 5 walkers: 100 = 4 * 5 * k 100 = 20k Divide each side by 20 k = 5 <-- Coefficient of Variation Now, take...