Question

Find y when x= 9 and z=10, if y varies jointly as x and z and y=33 and x=4 when z=3. Round your answer to the nearest thousandths

Answer 1

y ≈ 247.500

Explanation:

If y varies jointly as x and z, then we know that y = kxz, where k is a constant of proportionality. To find k, we can use the given information that y = 33 when x = 4 and z = 3:

33 = k(4)(3)

Solving for k, we get:

k = 33/(4*3) = 2.75

Now we can use this value of k to find y when x = 9 and z = 10:

y = kxz = (2.75)(9)(10) = 247.5

Rounding to the nearest thousandth, we get:

y ≈ 247.500