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

Find the value of y for a given value of x, if y varies directly with x.

If y = −252 when x = 63, what is y when x = 74?

1 answer

If y varies directly with x, this means that we can write an equation in the form y = kx, where k is the constant of variation.

To find the value of k, we can use the given information. We are told that when x = 63, y = -252. Plugging these values into the equation, we get:

-252 = k(63)

To solve for k, divide both sides of the equation by 63:

k = -252/63 = -4

Now that we know the value of k, we can use it to find the value of y when x = 74. Plugging the values into the equation y = kx:

y = -4(74)
y = -296

Therefore, when x = 74, y = -296.