Question

You are making lemonade. The amount of sugar you need depends on the amount of lemonade mix you use. Cups of sugar \dfrac13 3 1 ​ start fraction, 1, divided by, 3, end fraction 111 333 Packets of lemonade mix 111 333 999 Is the amount of sugar you need proportional to the amount of lemonade mix you use?

Answer 1

yes

Explanation:

Answer 2

Yes, the amount of sugar you need proportional to the amount of lemonade mix you use.

Explanation:

You are making lemonade. The amount of sugar you need depends on the amount of lemonade mix you use. Cups of sugar

1/3

1

3

Packets of lemonade mix

1

3

9

Is the amount of sugar you need proportional to the amount of lemonade mix you use?

Cups of sugar ∝ Number of packets

C ∝ N

C = k/N

k = C/N

a) For

1/3 cups of sugar and 1 packet of Lemonade mix

1/3 ∝ 1

1/3 = 1k

k = 1/3/1

k = 1/3

b) For

1 cups of sugar and 3 packets of Lemonade mix

1 ∝ 3

1 = 3k

k = 1/3

k = 1/3

c) For

3 cups of sugar and 9 packets of Lemonade mix

3 ∝ 9

3= 9k

k = 3/9

k = 1/3

Therefore, Yes, the amount of sugar you need proportional to the amount of lemonade mix you use. This is because the value is k is the same