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?
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.
To find the value of t when u = 21, we can use the concept of inverse proportionality.
Step 1: Write the inverse proportion equation:
t * u = k
Step 2: Substitute the initial values into the equation:
7 * 3 = k
Step 3: Solve for k:
21 = k
Step 4: Use the value of k to find the value of t when u = 21:
t * 21 = 21
t = 1
Therefore, when u = 21, t = 1.