hadanicolemanuela
Answered

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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, [tex]\(y\)[/tex], to the number of gallons that she put in the tank, [tex]\(x\)[/tex]?

A. [tex]\(y = 4 + x\)[/tex]
B. [tex]\(y = x - 4\)[/tex]
C. [tex]\(y = 4 \cdot x\)[/tex]
D. [tex]\(y = x \div 4\)[/tex]

Sagot :

GinnyAnswer
First, let's define the variables given in the problem:

- [tex]\( y \)[/tex] represents the total amount of gasoline in the tank after adding more gas.
- [tex]\( x \)[/tex] represents the number of gallons of gas that Jayne put into the tank.

We also know the initial amount of gas in the tank, which is 4 gallons.

### Step-by-Step Solution

1. Identify the Initial Amount of Gas:
Jayne’s tank initially has 4 gallons of gas.

2. Introduce the Variable for Additional Gas:
Let [tex]\( x \)[/tex] be the number of gallons of gas that Jayne adds to the tank.

3. Express the Total Gasoline [tex]\( y \)[/tex]:
The total gasoline in the tank, [tex]\( y \)[/tex], will be the initial amount plus the additional amount she puts in.

To find the equation that relates the total amount of gasoline [tex]\( y \)[/tex] to the number of gallons added [tex]\( x \)[/tex], we add the initial amount of gas (4 gallons) to the amount added ([tex]\( x \)[/tex] gallons).

Thus, the equation is:
[tex]\[ y = 4 + x \][/tex]

Therefore, the correct equation that relates the total amount of gasoline in the tank, [tex]\( y \)[/tex], to the number of gallons that she put in the tank, [tex]\( x \)[/tex], is:
[tex]\[ y = 4 + x \][/tex]

So, the answer is:
[tex]\[ y = 4 + x \][/tex]

Given the choices:
- [tex]\( y = 4 + x \)[/tex]
- [tex]\( y = x - 4 \)[/tex]
- [tex]\( y = 4 \cdot x \)[/tex]
- [tex]\( y = x \div 4 \)[/tex]

The correct choice is:
[tex]\[ y = 4 + x \][/tex]
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