Question

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

Answer 1

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

`(s)/(t)=(420)/(15)=28`

the equation is

`s=28t`

c)

Using the formula above and clearing t

`\begin{gathered} t=(s)/(28)=(800)/(28)=28.57 \\ t=29 \end{gathered}`

rounded to the nearest second

t=29 sec