10. Suppose y varies directly as x, and y = 9 when x = 3/2. Find y when x = 1

y = 6

Step-by-step explanation:

We need to interpret the question

y varies directly as x

y varies x

To equate it, we need to add a constant K

y = K/x

Using the information we are provided with

y = 9

x = 3/2

insert into

y = Kx

9 = K * 3/2

9 = 3K / 2

3K = 9 * 2

3k = 18

To get K, divide through by 3

3K/3 = 18/3

K = 6

Since we've gotten our K = 6

y = Kx

Using the new information

y = ?

x = 1

K = 6

y = 6 * 1

y = 6

The new y = 6, x = 1