Answer :
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 [tex]$43.51. Then, we can compare this price to the given price of $[/tex]3.70 per gallon.
Step-by-Step Solution:
1. Calculate the price per gallon for filling a 12-gallon tank at [tex]$43.51: - We have a total cost of $[/tex]43.51 for 12 gallons.
- To find the price per gallon, divide the total cost by the number of gallons:
[tex]\[ \text{Price per gallon} = \frac{\$43.51}{12 \text{ gallons}} \approx 3.625833333333333 \][/tex]
2. Price per gallon for the second option:
- The price for the second option is given as [tex]$3.70 per gallon. 3. Compare the two prices: - Price per gallon for the first option: approximately $[/tex]3.63 (rounded to the nearest cent).
- Price per gallon for the second option: [tex]$3.70. Since $[/tex]3.63 per gallon is cheaper than [tex]$3.70 per gallon, the first option offers the better deal. Conclusion: - The better deal is to fill a 12-gallon tank for $[/tex]43.51 because the price to fill a 12-gallon tank of gas for [tex]$43.51 is approximately $[/tex]3.63 per gallon.
So, the correct choice is:
A. The better deal is to fill a 12-gallon tank for [tex]$43.51 because the price to fill a 12-gallon tank of gas for $[/tex]43.51 is approximately $3.63 per gallon.
Step-by-Step Solution:
1. Calculate the price per gallon for filling a 12-gallon tank at [tex]$43.51: - We have a total cost of $[/tex]43.51 for 12 gallons.
- To find the price per gallon, divide the total cost by the number of gallons:
[tex]\[ \text{Price per gallon} = \frac{\$43.51}{12 \text{ gallons}} \approx 3.625833333333333 \][/tex]
2. Price per gallon for the second option:
- The price for the second option is given as [tex]$3.70 per gallon. 3. Compare the two prices: - Price per gallon for the first option: approximately $[/tex]3.63 (rounded to the nearest cent).
- Price per gallon for the second option: [tex]$3.70. Since $[/tex]3.63 per gallon is cheaper than [tex]$3.70 per gallon, the first option offers the better deal. Conclusion: - The better deal is to fill a 12-gallon tank for $[/tex]43.51 because the price to fill a 12-gallon tank of gas for [tex]$43.51 is approximately $[/tex]3.63 per gallon.
So, the correct choice is:
A. The better deal is to fill a 12-gallon tank for [tex]$43.51 because the price to fill a 12-gallon tank of gas for $[/tex]43.51 is approximately $3.63 per gallon.
