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Decide which of the two given prices is the better deal and explain why.
You can fill a 15-gallon tank of gas for \($43.13 or buy gas for $\)2.80/gallon.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The better deal is to fill a 15-gallon tank for \($43.13 because the price to fill a 15-gallon tank of gas for $\)43.13 is \($
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B. The better deal is to buy gas for $\)2.80/gallon because the price to fill a 15-gallon tank of gas for \($43.13 is $\) per gallo
(Round to the nearest cent as needed.)
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Verified Answer :

GinnyAnswer

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 \($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 $\)2.80 per gallon.
The price per gallon is directly given as \($2.80/gallon. Now, let's compare the two prices: - Option A: $\)2.88 per gallon
- Option B: \($2.80 per gallon Since $\)2.80 per gallon is less than \($2.88 per gallon, Option B is the better deal. To summarize: - Option A: The price to fill a 15-gallon tank for $\)43.13 is approximately \($2.88 per gallon. - Option B: The better deal is to buy gas for $\)2.80 per gallon.

Thus, the correct choice is:

B. The better deal is to buy gas for \($2.80/gallon because the price to fill a 15-gallon tank of gas for $\)43.13 is $2.88 per gallon (rounded to the nearest cent).

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