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$The gas tank in Ms. Brown's car holds a total of 15 gallons. At any given time, how many gallons, g, will Ms. Brown have to pump into her car to fill her tank given the fraction of the tank, f, already filled? Choose 1 answer: (A) g=15 f (B) g=(15 )/(f) (C) g=15-15 f (D) g=15-(15 )/(f)$

The gas tank in Ms. Brown's car holds a total of $15$ gallons. At any given time, how many gallons, $g$ , will Ms. Brown have to pump into her car to fill her tank given the fraction of the tank, $f$ , already filled? $\newline$ Choose $1$ answer: $\newline$ (A) $g=15 f$ $\newline$ (B) $g=\frac{15}{f}$ $\newline$ (C) $g=15-15 f$ $\newline$ (D) $g=15-\frac{15}{f}$

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Write two-variable inequalities: word problems

Full solution

Q. The gas tank in Ms. Brown's car holds a total of

15

gallons. At any given time, how many gallons,

g

, will Ms. Brown have to pump into her car to fill her tank given the fraction of the tank,

f

, already filled?

\newline

Choose

1

answer:

\newline

(A)

g=15 f

\newline

(B)

g=\frac{15}{f}

\newline

(C)

g=15-15 f

\newline

(D)

g=15-\frac{15}{f}

Find gas needed: We need to find the amount of gas needed to fill the tank based on the fraction of the tank that is already filled. The total capacity of the tank is $15$ gallons. If $f$ represents the fraction of the tank that is already filled, then the amount of gas already in the tank is $15 \times f$ gallons.
Subtract gas already in tank: To find out how much more gas is needed to fill the tank, we subtract the amount of gas already in the tank from the total capacity of the tank. This gives us the expression $15 - (15 \times f)$ gallons.
Simplify expression: Simplifying the expression, we get $g = 15 - 15f$ . This represents the gallons of gas needed to fill the tank from its current level.

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