Find the variation constant and write a formula that expresses the indicated variation.
c varies inversely as d, and c=5 when d = 2.
To find the variation constant, we need to use the given information that c varies inversely as d. In inverse variation, the product of c and d remains constant.
Let's represent the variation constant as k. Therefore, the formula that expresses the indicated variation is:
c = k / d
We can find the specific value of k by plugging in the given values:
c = 5 and d = 2
Substituting these values into the formula, we have:
5 = k / 2
To solve for k, we can cross multiply:
5 * 2 = k
10 = k
Therefore, the variation constant is 10, and the formula that expresses the indicated variation is:
c = 10 / d