Question

To make orange fizz, Noah mixes 4 scoops of powder with 6 cups of water. Andre mixes 5 scoops of powder with 8 cups of water. Create a double number line or a table that shows different amounts of powder and water that taste the same as Noah's mixture."

a) True
b) False

Answer 1

To ensure the orange fizz tastes the same as Noah's mixture, maintain the original 2:3 ratio of powder to water. The table provides several examples of such combinations. Andre's mixture does not follow this ratio, so it's not equivalent to Noah's mixture.

Step-by-step explanation:

To make an orange fizz that tastes the same as Noah's mixture, you need to maintain the same ratio of powder to water. Noah mixes 4 scoops of powder with 6 cups of water, which simplifies to a 2:3 ratio. To keep the taste consistent, you need to multiply both parts of the ratio by the same number.

Here's a table showing different combinations:

• 2 scoops of powder, 3 cups of water (equal to the original)
• 4 scoops of powder, 6 cups of water (Noah's mixture)
• 6 scoops of powder, 9 cups of water
• 8 scoops of powder, 12 cups of water

Andre's mixture of 5 scoops of powder with 8 cups of water reduces to a 5:8 ratio, which is different from Noah's 2:3 ratio. Therefore, Andre's mixture will not taste the same as Noah's mixture since the ratios are not equivalent.