Question

If x varies inversely as y and directly as t, and x = 12 when t = 10 and y = 25, find y when x is 6 and t = 3. 9 3/5 15 166 2/3

Answer 1

15

Explanation:

If x varies inversely as y and directly as t, and x = 12 when t = 10 and y = 25, find y when x is 6 and t = 3.

166 2/3

9 3/5

15

Answer 2

answer : 15

x varies inversely as y and directly as t

We use formula
`x = (kt)/(y)`

x varies inversely as y so we divide by y

x varies directly as t so we multiply x

k is the constant of proportionality

Lets find out k using the given values

x = 12 when t = 10 and y = 25

`x = (kt)/(y)`

`12 = (k*10)/(25)`

Multiply by 25 on both sides

300 = 10k (divide by 10)

So k = 30

Lets find y when x is 6 and t = 3. we got k = 30

`6 = (30*3)/(y)` (cross multiply)

6y = 90 (divide by 6 )

`y = (90)/(6) =15`

The value of y = 15