Question

A soda machine takes 3 seconds to fill a 15-ounce cup. If t represents the time in seconds, which equation can you use to find how long it takes the machine to fill a 40-ounce cup?

Answer 1

8 segundos
3 = 15 onzas
3= 15 onzas son 30 onzas por 6 segundos y 3 entre 15 son 5 ósea que es cada minuto por 5 onzas así que son 8 segundos para 40 onzas

Answer 2

Time taken to fill 40-ounce cup, t = 0.2 x Volume of cup in ounce = 0.2 x 40 = 8 seconds

Explanation:

A soda machine takes 3 seconds to fill a 15-ounce cup.

Time taken to fill 15-ounce cup = 3 seconds

`\texttt{Time taken to fill 1-ounce cup = }(3)/(15)=0.2seconds`

Now we need to find equation for t which is the time to fill a 40-ounce cup.

`t=\texttt{Time taken to fill 40-ounce cup}\\\\t=\texttt{Time taken to fill 1-ounce cup}* 40\\\\t=0.2* 40=8seconds`

Time taken to fill 40-ounce cup, t = 0.2 x Volume of cup in ounce = 0.2 x 40 = 8 seconds