The variables t and u are inversely proportional to each other. When t= 7, u = 3. What is the value of t when u=21?

Answer 1

Since the variables t and u are inversely proportional, their product is constant. Let's call this constant k.

We know that when t=7 and u=3, their product k is equal to 7*3: k=21.

Now we can set up the equation for this inverse variation:

t * u = k

Substituting k=21 and u=21 into the equation, we get:

t * 21 = 21

Dividing both sides of the equation by 21, we find:

t = 1

Therefore, when u=21, the value of t is 1.