To determine which price is the better deal, we need to calculate the price per gallon for both options and then compare them.
Option A: Fill a 15-gallon tank for [tex]$43.13.
To find the price per gallon for this option, we divide the total price by the tank capacity.
\[ \text{Price per gallon} = \frac{43.13}{15} \]
The result:
\[ \text{Price per gallon} ≈ 2.88 \]
Option B: Buy gas for $[/tex]2.80 per gallon.
The price per gallon is directly given as [tex]$2.80/gallon.
Now, let's compare the two prices:
- Option A: $[/tex]2.88 per gallon
- Option B: [tex]$2.80 per gallon
Since $[/tex]2.80 per gallon is less than [tex]$2.88 per gallon, Option B is the better deal.
To summarize:
- Option A: The price to fill a 15-gallon tank for $[/tex]43.13 is approximately [tex]$2.88 per gallon.
- Option B: The better deal is to buy gas for $[/tex]2.80 per gallon.
Thus, the correct choice is:
B. The better deal is to buy gas for [tex]$2.80/gallon because the price to fill a 15-gallon tank of gas for $[/tex]43.13 is $2.88 per gallon (rounded to the nearest cent).
