Question

if d varies directly as t and d = 20.5 when t=12 find:(a) the value of the constant (b) the relationship between d and t (c) the value of d when t =6.​

Answer 1

(a)
`k=(41)/(24)`

(b)
`d=(41)/(24) t`

(c)
`d=(41)/(4)`

Step-by-step explanation:

As d varies directly as t,

`d=kt`

Here, k is a constant.

(a)

Put
`d=20.5\,,\,t=12`

`20.5=12k\\\\k=(41)/(24)\\\\k= 1.71`

(b)

Put
`k=(41)/(24)` in
`d=kt`

`d=(41)/(24) t`

(c)

Put
`t=6` in
`d=(41)/(24) t`

`d=(41)/(24) (6)\\\\d=(41)/(4)`