Question

The table below shows a proportional relationship between s and t . Which equation represents the relationship between s and t?

Answer 1

B

Explanation:

Divide 7

Answer 2

`s = 7t`

Explanation:

The table given shows that both variables are directly proportional to each other. That is, as s variable increases, y variable also increases.

Equation to represent this direct proportion would be:

`s = kt`,

where, k = constant of proportionality.

Let's find k from the table given.

Let's use any pair values of of s and t given in the table. Say, s = 21, t = 3

`s = kt`

`21 = k3`

Divide both sides by 3

`(21)/(3) = (k3)/(3)`

`7 = k`

`k = 7`

Plug in k = 3 into
`s = kt`:

`s = 7t`