Jin has 12 gallons of gas in his car at the beginning of a trip. Every hour Jin drives, he uses 2.75
gallons of gas. Answer the questions below regarding the relationship between the gallons of gas
remaining in the tank and the total hours driven.
Answer Attempt i out of 2
The independent variable, , represents the
dependent variable is the
A function relating these variables is , meaning 4

Question

Jin has 12 gallons of gas in his car at the beginning of a trip. Every hour Jin drives, he uses 2.75
gallons of gas. Answer the questions below regarding the relationship between the gallons of gas
remaining in the tank and the total hours driven.
Answer Attempt i out of 2
The independent variable,

, represents the
dependent variable is the
A function relating these variables is

, meaning 4

UpStudy AI · Accepted Answer

In this scenario, we can define the variables as follows:

- The independent variable, $$ x $$, represents the total hours driven.
- The dependent variable represents the gallons of gas remaining in the tank.

Since Jin starts with 12 gallons of gas and uses 2.75 gallons per hour, we can express the relationship between the gallons of gas remaining and the hours driven with the following function:

$$
C(x) = 12 - 2.75x
$$

Where:
- $$ C(x) $$ is the gallons of gas remaining after driving $$ x $$ hours.
- $$ 12 $$ is the initial amount of gas.
- $$ 2.75x $$ is the amount of gas used after driving $$ x $$ hours.

So, to fill in the blanks:

- The independent variable, $$ x $$, represents the total hours driven.
- The dependent variable is the gallons of gas remaining in the tank.
- A function relating these variables is $$ C(x) = 12 - 2.75x $$.
The independent variable, $$ x $$, represents the total hours driven. The dependent variable is the gallons of gas remaining in the tank. A function relating these variables is $$ C(x) = 12 - 2.75x $$.

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