Question

The value of z varies jointly with x and y. if z=4 when y=20 and x=10, find the value of z when x=2 and y=68

1. z=2/3
2. z=17
3. z=0.50
4. z=2.72

Answer 1

The value of z varies jointly with x and y. Using the formula for joint variation, we can find the value of z when x = 2 and y = 68.

Step-by-step explanation:

Given that the value of z varies jointly with x and y, we can use the formula for joint variation: z = kxy, where k is the constant of variation. To find the value of k, we can plug in the given values and solve for k: 4 = 10k(20). Solving for k, we get k = 1/50. Now we can use this value of k to find the value of z when x = 2 and y = 68: z = (1/50)(2)(68) = 2.72. Therefore, the value of z when x = 2 and y = 68 is 2.72 (option 4

Answer 2

2.72

Step-by-step explanation: