To determine the answers to Part A and Part B, let's analyze the relationship between drops of lemon oil (l) and ounces of soap (s).
Part A:
From the information provided:
- 10 drops correspond to 2 ounces of soap.
First, we can find the ratio of drops to ounces: \[ \frac{10 \text{ drops}}{2 \text{ ounces}} = 5 \text{ drops per ounce} \]
This shows that for every ounce of soap, 5 drops of lemon oil are needed. To express this relationship as an equation, we have: \[ s = \frac{l}{5} \] Which can also be rearranged as: \[ l = 5s \]
However, the equations in your provided options do not directly match this.
Given that we also have to consider the initial known value (0.8 ounces of soap which corresponds to an unknown number of drops), we can set this up in our ratio form to recheck the options. We will choose the equation that best aligns with our information about the drops per ounce.
Since none of the provided equations is in the form of \( s = \frac{l}{5} \) and looking at provided options, the equation that could possibly describe the general relationship as seen from the drops and soap volume is:
- A: \( s = 0.2l \) which represents a proportional relationship as increasing drops results in increasing soap volume.
Part B:
Now, we want to find out how many drops correspond to 0.8 ounces of soap.
Using the relationship where \( 5 \text{ drops} = 1 \text{ ounce} \): \[ 0.8 \text{ ounces} \times 5 \text{ drops/ounce} = 4 \text{ drops} \]
Thus, the answer for Part B is 4 drops of lemon oil for 0.8 ounces of soap.
Final Answers:
- Part A: \( s = 0.2l \)
- Part B: 4 drops