Answer :
The student's question involves using ratios to determine the proportions of yeast, water, and hydrogen peroxide needed to make foam in a science experiment. The tape diagram would visually represent the proportional relationship among ingredients. For every 2 tablespoons of yeast, you would use 5 tablespoons of water (due to the requirement of 3 more tablespoons of water than yeast) and 14 tablespoons of hydrogen peroxide in order to maintain the original ratio.
Explanation:
The student's question involves calculating proportions in a science experiment where you make foam using yeast, water, and hydrogen peroxide. The ratio given in the problem is 1 tablespoon of yeast to 3 tablespoons of water to 8 tablespoons of hydrogen peroxide.
Part A: Representing the Ratio with a Tape Diagram
To represent this ratio using a tape diagram, you would create a visual model that shows the parts of the mixture in proportion to one another. Imagine a long strip of tape divided into 12 equal sections, because the total number of tablespoons for yeast and water together is 4 (1 + 3). Each section represents one tablespoon. For yeast, color in 1 section, for water, color in 3 sections, and for hydrogen peroxide, fill in 8 sections, which may require an additional tape strip to accommodate all 12 sections.
Part B: Calculating the Amount of Ingredients
If you use 3 more tablespoons of water than yeast, you need to determine the increment that maintains the ratio while honoring the 3-tablespoon difference between yeast and water. The base ratio of yeast to water is 1:3, or for every 1 tablespoon of yeast, there are 3 tablespoons of water. Since you use 3 more tablespoons of water than yeast, you would use 2 tablespoons of yeast (because 1 + 1 = 2) and 5 tablespoons of water (because 3 + 2 = 5). Keeping the original 1:3 ratio means that for every 2 tablespoons of yeast, you need 6 tablespoons of water; however, since it's 3 more but only one increment more, 5 tablespoons of water are correct. To determine the hydrogen peroxide, you maintain the ratio of 8 units of hydrogen peroxide for every 4 units (yeast plus water). Therefore, for 2 tablespoons of yeast and 5 tablespoons of water forming 7 units together, you need 14 tablespoons of hydrogen peroxide to maintain
Answer:
The amount of water is increasing by 3 while the amount of other two ingredients (yeast and hydrogen per oxide) is same.
Step-by-step explanation:
- Part A:
file is attached below in which the tape diagram of ratios is present.
- Part B:
amount of yeast use in making foam=1
amount of water use in making foam=3
amount of hydrogen per oxide in making foam=8
In part B we are using 3 more table spoons of water than yeast in making foam, now the amount of ingredients use in making foam is;
amount of yeast use in making foam=1
amount of water use in making foam=3(3)=9
amount of hydrogen per oxide in making foam=8
