To determine which paint jar size is the best buy, we need to compare the price per ounce for each jar. Here is a step-by-step solution:
1. Identify the cost of each jar size:
- 2-ounce jar: \[tex]$1.50
- 4-ounce jar: \$[/tex]2.92
- 8-ounce jar: \[tex]$5.68
- 16-ounce jar: \$[/tex]11.62
2. Calculate the price per ounce for each jar size:
- For the 2-ounce jar:
[tex]\[
\text{Price per ounce} = \frac{\$1.50}{2} = \$0.75
\][/tex]
- For the 4-ounce jar:
[tex]\[
\text{Price per ounce} = \frac{\$2.92}{4} = \$0.73
\][/tex]
- For the 8-ounce jar:
[tex]\[
\text{Price per ounce} = \frac{\$5.68}{8} = \$0.71
\][/tex]
- For the 16-ounce jar:
[tex]\[
\text{Price per ounce} = \frac{\$11.62}{16} = \$0.72625
\][/tex]
3. Compare the price per ounce for all jar sizes:
- 2-ounce jar: \[tex]$0.75 per ounce
- 4-ounce jar: \$[/tex]0.73 per ounce
- 8-ounce jar: \[tex]$0.71 per ounce
- 16-ounce jar: \$[/tex]0.72625 per ounce
4. Identify the jar size with the minimum price per ounce.
From our calculations, the price per ounce values are:
[tex]\[
\$0.75, \$0.73, \$0.71, \$0.72625
\][/tex]
The lowest price per ounce is \$0.71, which corresponds to the 8-ounce jar.
5. Conclusion:
The 8-ounce jar is the best buy, as it offers the lowest cost per ounce of paint.
