A car uses 1 gallon of gasoline for every 25 miles driven. At the start of a trip the tank was full of gasoline. After driving 500 miles, there were 2 gallons of gasoline left in the tank.

Question

Which equation shows the amount of gasoline left in the tank, V, as a function of the number of miles driven, d?

Answer options with 5 options
A.
V equals StartFraction d over 25 EndFraction

B.
V equals negative StartFraction d over 25 EndFraction plus 2

C.
V equals StartFraction d over 25 EndFraction plus 22

D.
V equals negative StartFraction d over 25 EndFraction plus 22

E.
V equals StartFraction d over 25 EndFraction plus 2

Answer 1

The correct equation is option B: V equals negative StartFraction d over 25 EndFraction plus 2.

This equation represents the amount of gasoline left in the tank (V) as a function of the number of miles driven (d). It states that for every 25 miles driven, one gallon of gasoline is used. The tank initially starts full, so the equation subtracts the amount of gasoline used (negative StartFraction d over 25 EndFraction) from the initial amount (2 gallons).