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The problem asks how many gallons \( g \) Ms. Brown would have to pump into her car to fill the gas tank given that a fraction \( f \) of the tank is already filled. The total capacity of the gas tank is 15 gallons.

### Step-by-step explanation:
1. The total capacity of the tank is 15 gallons.
2. If \( f \) is the fraction of the tank already filled, then the amount of gas currently in the tank is \( 15f \) gallons.
3. The remaining amount of gas Ms. Brown needs to fill the tank will be the total capacity minus the amount already filled, i.e., \( 15 - 15f \).

Thus, the correct expression for the gallons \( g \) that Ms. Brown has to pump is:

\[
g = 15 - 15f
\]

### Correct answer:
The correct answer is **(c)** \( g = 15 - 15f \).

Would you like more details on any specific part of this solution?

Here are some related questions for further practice:
1. If the tank was only half full, how many gallons would Ms. Brown need to fill the tank?
2. What if the fraction filled was \( \frac{1}{4} \)? How many gallons would she need to pump?
3. How would the formula change if the tank had a different capacity, say 20 gallons?
4. What if Ms. Brown needed to pump gas until her tank was only \( \frac{3}{4} \) full?
5. How many gallons would Ms. Brown need to pump if her tank was \( f = 0.1 \) full?

**Tip:** When working with fractions of a quantity, multiplying the total by the fraction gives the part that is filled or used. Subtract this from the total to get the remainder.

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?

Learn how to calculate the remaining gallons needed to fill a 15-gallon gas tank when a fraction of the tank is already filled. This problem covers key algebraic concepts, including linear equations and fractions, suitable for students in Grades 6-8.

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