Find the value of y for a given value of x, if y varies directly with x. y = −252 when x = 63, what is y when x = 74?
To find the value of y when x = 74, we can use the concept of direct variation. In a direct variation, the relationship between two variables can be represented by the equation y = kx, where k is the constant of variation.
To find the value of k, we can use the given information where y = -252 when x = 63:
-252 = k * 63
Solving for k:
k = -252 / 63
k = -4
Now that we have the value of k, we can plug it into the equation y = kx and find the value of y when x = 74:
y = -4 * 74
y = -296
Therefore, when x = 74, y is equal to -296.
In a direct variation, the relationship between two variables, y and x, is given by the equation y = kx, where k is the constant of variation.
To find the value of y when x = 74, we need to determine the value of k first.
Given that y = -252 when x = 63, we can substitute these values into the equation and solve for k:
-252 = k * 63
Dividing both sides of the equation by 63, we get:
k = -252 / 63
k = -4
Now that we have the value of k, we can substitute it into the equation and find y when x = 74:
y = (-4) * 74
y = -296
Therefore, when x = 74, y is equal to -296.
To find the value of y when x = 74, we can use the concept of direct variation. In direct variation, two variables are related in such a way that one variable is a constant multiple of the other. Mathematically, it can be represented as y = kx, where k is the constant of variation.
To find the value of k, we can use the information given in the problem. We know that y = -252 when x = 63. So, we can substitute these values into the equation:
-252 = k * 63
Now, to find the value of k, we can isolate it by dividing both sides of the equation by 63:
k = -252 / 63
k = -4
Now that we have the value of k, we can substitute it back into the equation y = kx and find the value of y when x = 74:
y = -4 * 74
y = -296
Therefore, when x = 74, y = -296.