Question

S varies inversely as g. If s is 8 when g is 1.2, find s when g is 6.

Answer 1

When g is 6, S is 1.6.

Step-by-step explanation:

In this problem, we are given that S varies inversely as g. This means that as g increases, S decreases, and vice versa. We can write this relationship as:

S = k/g

where k is the constant of variation.

We are also given that when g is 1.2, S is 8. We can use this information to find the value of k. Substituting the given values into the equation, we have:

8 = k/1.2

To find k, we can cross multiply and solve for k:

k = 1.2 * 8 = 9.6

Now we can use the value of k to find S when g is 6. Substituting the values into the equation, we have:

S = 9.6/6 = 1.6

Therefore, when g is 6, S is 1.6.