Question

I need to know which rate is equal to this unit rate v

Answer 1

20 bottles filled in 1 minute gives you a unit rate of

`(20~bottles)/(minute)`

Now let's look at the choices.

Option A.

`(1~bottle)/(20~sec)`

There are 60 seconds in a minute, so there are 3 20-second periods in a minute.

`(1~bottle)/(20~sec) = (3 * 1~bottle)/(3 * 20~sec) = (3~bottles)/(minute)`

Option A. is not it.

Option B.

`(3000~bottles)/(15~minutes) = (3000/15 bottles)/(15/15 minutes) = (200~bottles)/( minute)`

Option B. is not it.

Option C.

`(10~bottles)/(50~sec) = (10/50 * 60~bottles)/(50/50 * 60~sec) = (12~bottles)/(1~minute)`

Option C is not it.

Option D.

`(50~bottles)/(2.5~minutes) = (50 / 2.5 ~bottles)/(2.5 / 2.5~minute) = (20~bottles)/(minute)`

Option D. is the correct answer.

Answer 2

D is the answer because in 2 min, 40 bottles are filled. In half a minute, 10 bottles are filled. B is wrong because 3,000/15 is 200, which means in a minute, 200 bottles are filled.