Question

Suppose y varries directly as x, and y = 9 when x = 3/2. find y when x = 1.

Answer 1

Explanation:

If y varies directly as x, you can express this relationship with a proportionality constant k such that:

y = kx

Given that y = 9 when x = 3/2, you can use this information to find the value of k:

9 = k * (3/2)

To solve for k, you can multiply both sides by 2/3:

k = 9 * (2/3) = 6

Now that you have found the value of k, you can use this constant to find y when x = 1:

y = 6 * 1 = 6

So, when x = 1, y is equal to 6.