To determine the approximate cost of one vitamin, we should calculate the price per vitamin for each bottle size and then analyze these values.
Given the prices for each size are:
- A bottle with 50 pills costs [tex]$1.85
- A bottle with 100 pills costs $[/tex]3.70
- A bottle with 150 pills costs [tex]$5.55
- A bottle with 200 pills costs $[/tex]7.40
- A bottle with 250 pills costs [tex]$9.25
We calculate the cost per vitamin for each bottle.
1. For 50 pills:
\[ \text{Cost per vitamin} = \frac{\$[/tex]1.85}{50} = \[tex]$0.037 \]
2. For 100 pills:
\[ \text{Cost per vitamin} = \frac{\$[/tex]3.70}{100} = \[tex]$0.037 \]
3. For 150 pills:
\[ \text{Cost per vitamin} = \frac{\$[/tex]5.55}{150} = \[tex]$0.037 \]
4. For 200 pills:
\[ \text{Cost per vitamin} = \frac{\$[/tex]7.40}{200} = \[tex]$0.037 \]
5. For 250 pills:
\[ \text{Cost per vitamin} = \frac{\$[/tex]9.25}{250} = \[tex]$0.037 \]
We see that the cost per vitamin for any bottle size is:
\[ \$[/tex]0.037 \]
So, the approximate cost of one vitamin is:
[tex]\[ \$0.04 \][/tex]
Thus, the correct answer is:
[tex]\[ \$ 0.04 \][/tex]
