r varies directly with s. If r = 9 when s = 3/2,find r when s = 1.

r varies directly with s. If r = 9 when s = 3/2,find r when s = 1.

 

$$\\r\;\alpha \;s\\
r=k \;s\\
Find\;k\\
9=k*3/2\\
9*2/3=k\\
k=6\\
so\\
r=6s\\\\
When\;s=1\\
r=6*1\\
r=6$$

| r = 9
| s = 3/2

:3/2    or    *2/3 

| r = 6
| s = 1

| r = 9
| s = 3/2          <== devide both by 3/2, because that will give you 1 ( 3/2 : 3/2 = 1 )

 

:3/2   or    *2/3 

 

| r = 6
| s = 1