The table shows the amount of time t (in seconds) it takes to download a file of size s (in kilobytes).a)explain why s varies directly with t.b)write a direct variation equation that relates s and t.c)how long will it take to download an 800 kilobyte file? Round your answer to the nearest second

Respuesta :

a) Because we have a proportional relation between s and t

b) Because we have a proportional relation

we can obtain that if we divided the s between t

[tex]\frac{s}{t}=\frac{420}{15}=28[/tex]

the equation is

[tex]s=28t[/tex]

c)

Using the formula above and clearing t

[tex]\begin{gathered} t=\frac{s}{28}=\frac{800}{28}=28.57 \\ t=29 \end{gathered}[/tex]

rounded to the nearest second

t=29 sec