Question

to make fruit punch, priya mixes 3 scoops of powder with 5 cups of water. mai mixes 4 scoops of powder with 6 cups of water.
a. create a double number line or a table that shows different amounts of powder and water that taste the same as priya’s mixture.

Explanation:

Step1: Determine the ratio

Priya's ratio of powder to water is \( 3:5 \). To find equivalent ratios, we can multiply both parts of the ratio by the same positive integer.

Step2: Create a table

We'll create a table with two columns: Powder (scoops) and Water (cups). Start with the original ratio, then multiply by 2, 3, etc.

Powder (scoops)	Water (cups)
\( 3\times2 = 6 \)	\( 5\times2 = 10 \)
\( 3\times3 = 9 \)	\( 5\times3 = 15 \)
\( 3\times4 = 12 \)	\( 5\times4 = 20 \)

(We can also use a double number line: draw two parallel number lines, one labeled "Powder (scoops)" and the other "Water (cups)". Mark 3 on the powder line and 5 on the water line, then mark multiples like 6,10; 9,15; 12,20 etc. aligned vertically.)

Answer:

A table (or double number line) showing equivalent ratios to \( 3:5 \) (e.g., the table above with rows like 3 scoops - 5 cups, 6 scoops - 10 cups, etc.) represents different amounts of powder and water that taste the same as Priya’s mixture.