Question

the value of y varies jointly with x and the square of z, and y=90 when x=5 and z=3. find the equation represents this relationship

Answer 1

Explanation:

If y varies jointly with x and the square of z, we can express this relationship as:

y = kx z^2

where k is the constant of variation. To find the value of k, we can use the given information that y = 90 when x = 5 and z = 3:

90 = k(5)(3)^2

Simplifying, we get:

90 = 45k

Dividing both sides by 45, we get:

k = 2

Now we can substitute this value of k into our equation to get:

y = 2xz^2

Therefore, the equation that represents the relationship between y, x, and z is:

y = 2xz^2