Question

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

Answer 1

Answer:

$s = 7t$

Step-by-step 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

$\frac{21}{3} = \frac{k3}{3}$

$7 = k$

$k = 7$

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

$s = 7t$