Question

Keiko always takes her water bottle with her when she hikes, and she always drinks half a liter of water for every mile she hikes. Yesterday, she hiked a mile. What fraction of a liter of water did she drink?

Answer 1

hello

whenever she hikes, she drinks half bottle for 1/2 mile. But yesterday, she hiked 1 mile.

let the number of miles she hiked be represented by y

number of bottles she drank be represented by x

`\begin{gathered} (1)/(2)=1\text{mi} \\ x=(3)/(4) \\ \text{cross multiply} \\ (3)/(4)*(1)/(2)=x*1 \\ x=(3)/(8) \end{gathered}`

from the calculation above, she drank 3/8 of a bottle

`y=(1)/(2)x`

the above is the general expression

so for every mile she hiked, we can easily calculate the quantity of water she drank