A manufacturer made three mixtures of powdered dye and water. The first mixture has 297 grams of powdered dye and 45 liters of water. The second mixture has 429 of powdered dye 65 liters of water the third mixture has 627 grams of powdered dye and 95 liters of water.
State whether the amount of dye and amount of water are proportional for the three mixtures.
If they are proportional, fill in the blank with a whole number or a decimal.
To determine if the amount of dye and amount of water are proportional for the three mixtures, we need to calculate the ratio of dye to water for each mixture.
For the first mixture: ratio of dye to water = 297 grams / 45 liters = 6.6 grams/liter
For the second mixture: ratio of dye to water = 429 grams / 65 liters = 6.6 grams/liter
For the third mixture: ratio of dye to water = 627 grams / 95 liters = 6.6 grams/liter
Since the ratio of dye to water is the same for all three mixtures (6.6 grams/liter), we can conclude that the amount of dye and amount of water are proportional for the three mixtures.