Question

jayne stopped to get gas before going on a road trip. the tank already had 4 gallons of gas in it. which equation relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x?
○ y=4+x
○ y = x - 4
○ y = 4·x
○ y = x ÷ 4

Explanation:

Step1: Analyze the problem

The total amount of gasoline \( y \) should be the initial amount (4 gallons) plus the amount she put in (\( x \) gallons).

Step2: Determine the equation

So the relationship is \( y = 4 + x \), because we add the existing 4 gallons to the \( x \) gallons she adds. The other options don't represent this relationship: \( y=x - 4 \) subtracts 4, \( y = 4\cdot x \) multiplies, and \( y=x\div4 \) divides, which don't fit the context.

Answer:

\( y = 4 + x \) (the first option)