The variables t and u are inversely proportional to each other. What t= 7, u 3, what is the value of t when u =21?
Since t and u are inversely proportional, we can set up the equation:
t * u = k
where k is the constant of proportionality.
Given that t = 7 and u = 3, we can substitute these values into the equation:
7 * 3 = k
k = 21
Now, we can use the value of k to find t when u = 21:
t * 21 = 21
t = 21 / 21
t = 1
Therefore, when u = 21, t = 1.
If t and u are inversely proportional, it means that as one variable increases, the other variable decreases and vice versa. Mathematically, this relationship can be represented as t × u = k, where k is a constant.
In this case, we are given that t = 7 and u = 3. We can use these values to find the value of k:
t × u = k
7 × 3 = k
21 = k
Now, we can use the value of k to find t when u = 21:
t × u = k
t × 21 = 21
t = 21 / 21
t = 1
Therefore, when u = 21, the value of t is 1.