Question

What is the correct equation from the choices provided.

samantha begins her road trip with 30 gallons of gasoline in the tank of her van. her van gets 25 miles to the gallon. let yrepresent the number of gallons of gasoline in the tank after x miles of travel.

Answer 1

`y=-(1)/(25)x+30`

The +30 represents the 30 gallons of gasoline at the beginning of Samantha's road trip.
As each mile, x, does by, 1/25 of a gallon is lost (because the van gets 25 miles per gallon). so you put a negative 1/25 in front of the x. Therefore, when Samantha has driven x miles,she will have y gallons of gas left.