Let's go through the problem step by step to find out the correct equation that relates the total amount of gasoline in the tank, [tex]\( y \)[/tex], to the number of gallons that Jayne put in the tank, [tex]\( x \)[/tex].
1. Analyze the Initial Condition:
- The tank already had 4 gallons of gas in it. This means before Jayne puts any additional gas in, there are already 4 gallons in the tank.
2. Account for the Additional Gasoline:
- Let's denote the gasoline that Jayne adds to the tank as [tex]\( x \)[/tex].
3. Relate the Total Amount of Gasoline:
- The total amount of gasoline [tex]\( y \)[/tex] in the tank is the sum of the initial amount of gasoline (which is 4 gallons) and the additional gasoline [tex]\( x \)[/tex] that Jayne puts in.
4. Formulate the Equation:
- Given that the total amount, [tex]\( y \)[/tex], is the sum of the initial 4 gallons and [tex]\( x \)[/tex], we can write:
[tex]\[
y = 4 + x
\][/tex]
Therefore, the equation that correctly relates the total amount of gasoline in the tank, [tex]\( y \)[/tex], to the number of gallons that Jayne put in the tank, [tex]\( x \)[/tex], is:
[tex]\[
y = 4 + x
\][/tex]
Thus, the correct choice is:
[tex]\[
\boxed{y = 4 + x}
\][/tex]
