WORD PROBLEM: Solve the word problem. In the space provided, type the answer without any spaces between the letters, numbers, or symbols.

Question

Let x and y be inversely related. If x is 5 when y is 6, find y when x is 3

Answer 1

The variables x and y are inversely related if they satisfy the relation: x = k/y, where k is any non-zero number. We can use the fact that x is 5 when y is 6 to find the value of k in our particular case. Just substitute these values into the relation:

5 = k/6 multiply both sides by 6

30 = k

So, our relation is x = 30/y. Now substitute the value x=3 and solve for y:

3 = 30/y multiply both sides by y

3y = 30 divide both sides by 3

y = 10.