Question

decide which of the two given prices is the better deal and explain why.
you can fill a 15-gallon tank of gas for \\$46.06 or buy gas for \\$3.40/gallon.

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. the better deal is to fill a 15-gallon tank for \\$46.06 because the price to fill a 15-gallon tank of gas for \\$46.06 is \\$ per gallon.
b. the better deal is to buy gas for \\$3.40/gallon because the price to fill a 15-gallon tank of gas for \\$46.06 is \\$ per gallon.
(round to the nearest cent as needed.)

Explanation:

Calculate the unit price for the 15-gallon tank option

$$ \text{Unit Price} = \frac{\$46.06}{15\text{ gallons}} \approx \$3.07067\text{ per gallon} $$

Round to the nearest cent and compare prices

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Answer:

• (A) The better deal is to fill a 15-gallon tank for $46.06 because the price to fill a 15-gallon tank of gas for $46.06 is $3.07 per gallon. (Correct answer)
• (B) The better deal is to buy gas for $3.40/gallon because the price to fill a 15-gallon tank of gas for $46.06 is $3.07 per gallon.