Question

1. David uses 1 tbsp of sugar for every 1.25 cups of water when he makes lemonade complete the table below by filling in the missing values

Answer 1

Explanation:

David uses 1 table spoon of sugar for every 1.25 cups of water to prepare lemonade.

Therefore, Number of table spoons of sugar required (S) ∝ Cups of water required (w)

⇒ S ∝ w

⇒ S = kw

⇒ k =
`(S)/(w)`

⇒ k =
`(1)/(1.25)` = 0.8

So the formula to calculate the amount of water will be,

S = 0.8w

⇒ w =
`(S)/(0.8)`

where k = proportionality constant

Now we can complete the table with the help of the formula.

Sugar (tbsp) Water (cups)

1 1.25

7 8.75

3 3.75

5 6.25