Enter your answer and show all the steps that you use to solve this problem in the space provided.

Question

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?

Answer 1

To find the value of y when x = 74, we can set up a proportion using the direct variation equation.

The direct variation equation can be written as y = kx, where k is the constant of variation.

We can find the value of k by plugging in the values of y and x from the given information.

Given:
y = -252
x = 84

Plugging these values into the equation, we get:
-252 = k(84)

To solve for k, we divide both sides of the equation by 84:
k = -252/84
k = -3

Now that we have the value of k, we can use it to find the value of y when x = 74.

Plugging in the values of x and k into the direct variation equation, we get:
y = -3(74)
y = -222

Therefore, when x = 74, y is equal to -222.