Question

Suppose s varies directly with t. When t27, s=3. What is s when t=632

Answer
567
G
7
H

Answer 1

G

Explanation:

Given that s varies directly with t then the equation relating them is

s = kt ← k is the constant of variation

To find k use the condition when t = 27, s = 3 , then

3 = 27k ( divide both sides by 27 )

`(3)/(27)` = k, that is

k =
`(1)/(9)`

s =
`(1)/(9)` t ← equation of variation

When t = 63, then

s =
`(1)/(9)` × 63 = 7 → G

Answer 2

G 7

Explanation:

If t= 27 when s=3 27/3=9

the t=63 when s= 7 63/7= 9