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Find the value of y for a given value of x, if y varies directly with x.
If y=−252
when x = 84, what is y when x = 74?
To find the value of y when x = 74, we can use the concept of direct variation. In direct variation, we can use the formula:
y = kx
Where y is the dependent variable, x is the independent variable, and k is the constant of variation.
First, we need to find the value of k using the given information. We can substitute the values of y and x into the equation and solve for k:
-252 = k * 84
Divide both sides of the equation by 84:
k = -252 / 84
k = -3
Now that we know the value of k, we can find y when x = 74:
y = -3 * 74
y = -222
Therefore, when x = 74, y is equal to -222.