Suppose c and d vary inversely, and d = 2 when c = 17.
so, since cd=k, k=2*17
To solve this problem, we need to understand the concept of inverse variation. When two variables vary inversely, it means that as one variable increases, the other variable decreases proportionally, and vice versa.
In this case, we are given that c and d vary inversely. Let's represent c as x and d as y. Therefore, we have the following equation:
xy = k
Where k is a constant of variation.
We are also given that when c = 17, d = 2. Substituting these values into the equation, we get:
17 * 2 = k
34 = k
Now we have the value of k, which is 34. We can use this value to find the relationship between c and d.
So, the equation for this inverse variation is:
cd = 34
Now, if you want to find the value of d when c is a different number, you can rearrange the equation as:
d = 34 / c
Simply substitute the desired value of c into this equation, and you will get the corresponding value of d.