Question

The table below shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the same recipe.
Lemon juice (\text{mL}mLstart text, m, L, end text) Sugar (\text{g}gstart text, g, end text)
Batch A 500500500 200200200
Batch B 750750750 300300300
Batch C 150015001500 600600600
Write an equation to describe the relationship between jjj, the amount of lemon juice in \text{mL}start text, m, L, end text, and sss, the amount of sugar in \text{g}gstart text, g, end text.

Answer 1

Answer:

• j = 2.5s

Step-by-step explanation:

Batch A

• 500 ⇒ 200, juice to sugar ratio j/s = 500/200 = 2.5

Batch B

• 750 ⇒ 300, juice to sugar ratio j/s = 750/300 = 2.5

Batch C

• 1500 ⇒ 600, juice to sugar ratio j/s = 1500/600 = 2.5

General equation would be:

• j = 2.5s