Answer:
[tex] s = 7t [/tex]
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:
[tex] s = kt [/tex],
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
[tex] s = kt [/tex]
[tex] 21 = k3 [/tex]
Divide both sides by 3
[tex] \frac{21}{3} = \frac{k3}{3} [/tex]
[tex] 7 = k [/tex]
[tex] k = 7 [/tex]
Plug in k = 3 into [tex] s = kt [/tex]:
[tex] s = 7t [/tex]
