Answer :
To determine which of the two given prices represents a better deal, we need to compare the price per gallon for each option. Let's break it down step by step:
1. Calculate the price per gallon when filling a 12-gallon tank for [tex]$33.73: - The total cost to fill a 12-gallon tank is $[/tex]33.73.
- To find the price per gallon, divide the total cost by the number of gallons:
[tex]\[ \text{Price per gallon} = \frac{\$33.73}{12 \text{ gallons}} \][/tex]
[tex]\[ \text{Price per gallon} = \$2.81 \text{ (rounded to the nearest cent)} \][/tex]
2. Compare the price per gallon for the two options:
- Option A: Buying gas for [tex]$3.20 per gallon. - Option B: Filling a 12-gallon tank for $[/tex]33.73, which results in a price of [tex]$2.81 per gallon. 3. Determine which option is the better deal: - Option A costs $[/tex]3.20 per gallon, whereas Option B costs [tex]$2.81 per gallon. Since $[/tex]2.81 per gallon (Option B) is less than [tex]$3.20 per gallon (Option A), Option B is the better deal. Therefore, the correct choice is: B. The better deal is to fill a 12-gallon tank for $[/tex]33.73 because the price to fill a 12-gallon tank of gas for [tex]$33.73 is $[/tex]2.81 per gallon.
1. Calculate the price per gallon when filling a 12-gallon tank for [tex]$33.73: - The total cost to fill a 12-gallon tank is $[/tex]33.73.
- To find the price per gallon, divide the total cost by the number of gallons:
[tex]\[ \text{Price per gallon} = \frac{\$33.73}{12 \text{ gallons}} \][/tex]
[tex]\[ \text{Price per gallon} = \$2.81 \text{ (rounded to the nearest cent)} \][/tex]
2. Compare the price per gallon for the two options:
- Option A: Buying gas for [tex]$3.20 per gallon. - Option B: Filling a 12-gallon tank for $[/tex]33.73, which results in a price of [tex]$2.81 per gallon. 3. Determine which option is the better deal: - Option A costs $[/tex]3.20 per gallon, whereas Option B costs [tex]$2.81 per gallon. Since $[/tex]2.81 per gallon (Option B) is less than [tex]$3.20 per gallon (Option A), Option B is the better deal. Therefore, the correct choice is: B. The better deal is to fill a 12-gallon tank for $[/tex]33.73 because the price to fill a 12-gallon tank of gas for [tex]$33.73 is $[/tex]2.81 per gallon.
