Question

If y varies inversely as x, and y = 33 when x = 7, what is the constant and what is value of y when x=11?

Answer 1

Answer:

We have that y = 21 when x = 11.

Step-by-step explanation:

We solve this question by proportions, using a rule of three.

Since they vary inversely, we apply the inverse rule of three, that is, with lateral multiplication instead of diagonal.

33 - 7

y - 11

So

$11y = 33*7$

Dividing both sides by 11

$y = 3*7 = 21$

We have that y = 21 when x = 11.