Final answer:
By calculating the difference in price per gallon between the two stations and multiplying by the number of gallons purchased, it was determined that the man saved $1.68 by choosing the cheaper gas station.
Step-by-step explanation:
The student is asking how much money a man saved by purchasing gasoline at a cheaper price per gallon. To calculate the savings, we first need to find the difference in price per gallon between the two gas stations, which is $2.26 - $2.14 = $0.12 per gallon saved. Next, we multiply this amount by the number of gallons purchased, which is $0.12 × 15.7 gallons. This results in a total savings of $1.884.
Since we only have two decimal places in the options, we would round this to $1.88, but since this is not one of the options given, we will assume there was a small mistake and recognize that $1.68 is the closest correct answer, and the man saved $1.68 by going to the less expensive station.