If y varies inversely as x and y = 107 when x = - 15, find y when x = 5. Round your answer to the nearest hundredth, if necessary.

35.67

321

-321

-35.67

-321

Step-by-step explanation:

We know that x and y varies inversely, and that when y = 107, x = - 15

we can represent this in the following table:

y x

107 ⇒ - 15

Now we need to know the value of y when x = 5,

y x

107 ⇒ - 15

? ⇒ 5

we find the answer by inverse rule of three: multiply the top quantities (107 by - 15) and then divide by the remaining amount (5), this is:

107 (-15) / 5 = - 1605/5 = - 321

-321

Step-by-step explanation:

The new value of x is the old value divided by - 3. Since y varies inversely, its new value will be the old value divided by 1/-3, equivalently, multiplied by - 3:

(-3) (107) = - 321