To determine the approximate volume that 7 drops would equal, given that 20 drops are equivalent to 1 milliliter (mL), follow these steps:
1. Identify the conversion factor:
- We know that 20 drops = 1 mL. Therefore, the conversion factor is 20 drops per mL.
2. Set up the ratio:
- We need to find the volume in mL for 7 drops. We can set up the ratio as follows:
[tex]\[
\frac{7 \text{ drops}}{20 \text{ drops}} = \frac{x \text{ mL}}{1 \text{ mL}}
\][/tex]
Here, [tex]\( x \)[/tex] represents the volume in milliliters that we are trying to find.
3. Solve for [tex]\( x \)[/tex]:
- Cross-multiplying, we get:
[tex]\[
7 \times 1 = 20 \times x
\][/tex]
[tex]\[
7 = 20x
\][/tex]
- To isolate [tex]\( x \)[/tex], divide both sides of the equation by 20:
[tex]\[
x = \frac{7}{20}
\][/tex]
4. Calculate the value:
- Performing the division, we get:
[tex]\[
\frac{7}{20} = 0.35
\][/tex]
5. Identify the closest option:
- Comparing 0.35 mL to the given options:
- A. 0.1 mL
- B. 2.9 mL
- C. 0.4 mL
- D. 1.1 mL
The closest value is option C: 0.4 mL.
Therefore, the approximate volume that 7 drops equal is best represented by option:
C. 0.4 mL
