Question

cups of sugar: \\(\frac{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?

choose 1 answer:
(a) yes
(b) no

Explanation:

Calculate the ratio for the first pair

$$ \frac{\text{cups of sugar}}{\text{packets of lemonade mix}} = \frac{\frac{1}{3}}{1} = \frac{1}{3} $$

Calculate the ratio for the second pair

$$ \frac{\text{cups of sugar}}{\text{packets of lemonade mix}} = \frac{1}{3} $$

Calculate the ratio for the third pair

$$ \frac{\text{cups of sugar}}{\text{packets of lemonade mix}} = \frac{3}{9} = \frac{1}{3} $$

Answer:

• (A) Yes (Correct answer)
• (B) No