College

The convenience store sells a 16-ounce bottle of water for [tex]\$2.40[/tex] and a 28-ounce bottle of water for [tex]\$2.80[/tex]. Tiana wants to compare the unit rates to find out which is a better deal.

1. What is the cost per ounce of a 16-ounce bottle of water? Find the unit rate.

A 16-ounce drink costs [tex]\$0.15[/tex] per ounce.

2. What is the cost per ounce of a 28-ounce bottle of water? Find the unit rate.

A 28-ounce drink costs [tex]\frac{\$2.80}{28}[/tex] dollars per ounce.

Answer :

To find out which bottle of water is a better deal, we need to determine the cost per ounce, also known as the unit rate, for each bottle.

1. Calculate the unit rate for the 16-ounce bottle:

- The cost of the 16-ounce bottle is [tex]$2.40.
- To find the cost per ounce, divide the total cost by the number of ounces:
\[
\text{Unit rate for 16-ounce bottle} = \frac{\$[/tex]2.40}{16 \text{ ounces}} = \[tex]$0.15 \text{ per ounce}
\]

2. Calculate the unit rate for the 28-ounce bottle:

- The cost of the 28-ounce bottle is $[/tex]2.80.
- To find the cost per ounce, divide the total cost by the number of ounces:
[tex]\[
\text{Unit rate for 28-ounce bottle} = \frac{\$2.80}{28 \text{ ounces}} = \$0.10 \text{ per ounce}
\][/tex]

Now that we have both unit rates:

- The 16-ounce bottle costs [tex]$0.15 per ounce.
- The 28-ounce bottle costs $[/tex]0.10 per ounce.

From this, we can see that the 28-ounce bottle is a better deal, as it costs less per ounce.