Question

Anna mixes purple and pink dye to create lavender. For every 8tsp of purple dye anna Adds 3tsp pf pink dye

Which statement about the relationship betweenthe purple dye and pink dye is true.
1. graph of rleationship passes through points (10,5)
2. The ratio of coordinates are equlvalent
3. The graph of relationship is a straight linethat doesnt pass through origin
4 the constant of proprtinality For purple to pink dye is 3/8

Answer 1

Anna's mixture of purple and pink dye has a ratio of 8:3. Consequently, the true statement about this ratio is that the coordinates of points on the graph of the relationship would have an equivalent ratio of purple to pink dye, which is 8:3. This means that option 2 is the correct answer.

Step-by-step explanation:

The question asks us to determine which statement about the relationship between purple dye and pink dye, used by Anna to create lavender, is true. Anna mixes 8 teaspoons (tsp) of purple dye with 3 tsp of pink dye. This gives us a ratio of purple to pink dye of 8:3.

1. The graph of the relationship would pass through points that have the same ratio of 8:3. The point (10,5) does not maintain this ratio, so statement 1 is incorrect.
2. The ratio of purple dye to pink dye is always equivalent to 8:3, so statement 2 is correct.
3. The graph of this relationship would be a straight line with a slope of 8/3, starting at the origin because if there is no purple dye, there would be no pink dye as well according to the mixture ratio, so statement 3 is incorrect as the graph does pass through the origin.
4. The constant of proportionality for purple to pink dye is the ratio of purple to pink, thus it is 8/3 instead of 3/8, making statement 4 incorrect.

Answer 2

The correct statement about the relationship between the purple dye and pink dye is that the ratio of the coordinates (purple to pink dye) on the graph are equivalent to the 8:3 mixing ratio.

Step-by-step explanation:

The question asks which statement about the relationship between the amounts of purple dye and pink dye is true when Anna mixes them to create lavender. Given that for every 8 teaspoons (tsp) of purple dye, Anna adds 3 tsp of pink dye, we can establish a ratio of purple to pink dye, which is 8:3 or ⅓ for the purple dye to the pink dye.

To address the statements:

1. The graph of the relationship would not pass through the point (10,5) because this does not maintain the 8:3 ratio.
2. The ratio of coordinates of points on the graph representing this relationship would be equivalent to the 8:3 ratio of purple to pink dye.
3. The graph of the relationship is a straight line that passes through the origin because you can have no purple dye without pink dye and vice versa.
4. The constant of proportionality for purple to pink dye is incorrect as stated because the ratio provided in the question is 8:3 or 8/3, not 3/8.

Therefore, the correct statement is that the ratio of the coordinates (purple to pink dye) on the graph are equivalent, which is statement 2.