Answered

Decide which of the two given prices is the better deal and explain why.
You can fill a 12-gallon tank of gas for \($43.51 or buy gas for $\)3.70/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 12-gallon tank for \($43.51 because the price to fill a 12-gallon tank of gas for $\)43.51 is \($ per gallon.
B.
The better deal is to buy gas for $\)3.70/gallon because the price to fill a 12-gallon tank of gas for \($43.51 is $\)
(Round to the nearest cent as needed.)
per gallon.

Verified Answer :

GinnyAnswer

To determine which option offers a better deal, we need to calculate the price per gallon for filling the 12-gallon tank at a total cost of \($43.51. Then, we can compare this price to the given price of $\)3.70 per gallon.

Step-by-Step Solution:

1. Calculate the price per gallon for filling a 12-gallon tank at \($43.51: - We have a total cost of $\)43.51 for 12 gallons.
- To find the price per gallon, divide the total cost by the number of gallons:
\(\[ \text{Price per gallon} = \frac{\$43.51}{12 \text{ gallons}} \approx 3.625833333333333 \]\)

2. Price per gallon for the second option:
- The price for the second option is given as \($3.70 per gallon. 3. Compare the two prices: - Price per gallon for the first option: approximately $\)3.63 (rounded to the nearest cent).
- Price per gallon for the second option: \($3.70. Since $\)3.63 per gallon is cheaper than \($3.70 per gallon, the first option offers the better deal. Conclusion: - The better deal is to fill a 12-gallon tank for $\)43.51 because the price to fill a 12-gallon tank of gas for \($43.51 is approximately $\)3.63 per gallon.

So, the correct choice is:

A. The better deal is to fill a 12-gallon tank for \($43.51 because the price to fill a 12-gallon tank of gas for $\)43.51 is approximately $3.63 per gallon.

Related Questions