176k views
2 votes
Y varies jointly as x and z. y=64 when x=4 and z=2. Find y when x=2 and z=5. y=

User Dcorking
by
8.3k points

1 Answer

2 votes

Answer and Step-by-step explanation:

To solve this problem, we need to use the concept of joint variation. When y varies jointly as x and z, it means that y is directly proportional to both x and z. In other words, y can be expressed as y = kxz, where k is the constant of variation.

We are given the values of y, x, and z for one situation: y = 64 when x = 4 and z = 2. Using this information, we can solve for the constant of variation, k.

64 = k * 4 * 2

64 = 8k

To solve for k, we divide both sides of the equation by 8:

8k / 8 = 64 / 8

k = 8

Now that we have the value of k, we can find y when x = 2 and z = 5.

y = k * x * z

y = 8 * 2 * 5

y = 80

Therefore, when x = 2 and z = 5, y = 80.

User Roelant M
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.