Question

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

Answer 1

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.

Answer 2

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

$\dfrac{20~bottles}{minute}$

Now let's look at the choices.

Option A.

$\dfrac{1~bottle}{20~sec}$

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

$\dfrac{1~bottle}{20~sec} = \dfrac{3 \times 1~bottle}{3 \times 20~sec} = \dfrac{3~bottles}{minute}$

Option A. is not it.

Option B.

$\dfrac{3000~bottles}{15~minutes} = \dfrac{3000/15 bottles}{15/15 minutes} = \dfrac{200~bottles}{ minute}$

Option B. is not it.

Option C.

$\dfrac{10~bottles}{50~sec} = \dfrac{10/50 * 60~bottles}{50/50 * 60~sec} = \dfrac{12~bottles}{1~minute}$

Option C is not it.

Option D.

$\dfrac{50~bottles}{2.5~minutes} = \dfrac{50 \div 2.5 ~bottles}{2.5 \div 2.5~minute} = \dfrac{20~bottles}{minute}$

Option D. is the correct answer.