Question

Suppose `y`varies directly with `x` and `y=125`when`x=-5`. What is the value of `y` when `x=12`?

Answer 1

If y varies directly with x, we can write the 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 that y = 125 when x = -5. Plugging these values into the equation, we get:

125 = k(-5)

Divide both sides by -5:

125/(-5) = k

-25 = k

Now that we know the value of k, we can find the value of y when x = 12 by plugging these values into the equation:

y = kx

y = (-25)(12)

y = -300

Therefore, the value of y when x = 12 is -300.