If y varies jointly as w and x, and y is 483 when x is 742 and w is 383, find y when x is 274 and w is 756.
y = kwx
First, find k. Do this by plugging in x,w,y:
483 = k*742*383 so
k = 0.0016995
Now, knowing k, find y:
y = 0.0016995 * 274 * 756
y = 352
To solve this problem, we can use the concept of joint variation. In joint variation, a dependent variable (in this case, y) varies directly with two or more independent variables (w and x) when their product remains constant.
The general equation of joint variation can be written as:
y = k * w * x
where k is the constant of variation.
To find the value of k, we can use the initial values given in the problem:
y = 483 when x = 742 and w = 383
Substituting these values into the equation, we get:
483 = k * 742 * 383
To solve for k, we divide both sides of the equation by the product of 742 and 383:
k = 483 / (742 * 383)
Now that we have the value of k, we can find the value of y when x is 274 and w is 756:
y = k * w * x
y = (483 / (742 * 383)) * 756 * 274
Calculating this expression will give us the answer to the problem.