Question

montraie has 13 gallons of gas in his car at the beginning of a trip. every hour montraie drives, he uses 1.5 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 1 out of 2 the independent variable, x, represents the , and the dependent variable is the , because the depends on the . a function relating these variables is d(x)=. so d(4)=, meaning 4

Explanation:

Step1: Identify variables

The independent variable $x$ is the total hours driven as it can be freely - chosen. The dependent variable is the gallons of gas remaining in the tank since the amount of gas left depends on the number of hours driven.

Step2: Form the function

The initial amount of gas is 13 gallons and 1.5 gallons are used per hour. So the function $D(x)=13 - 1.5x$.

Step3: Evaluate the function at $x = 4$

Substitute $x = 4$ into $D(x)$: $D(4)=13-1.5\times4=13 - 6=7$. This means that after driving for 4 hours, there are 7 gallons of gas remaining in the tank.

Answer:

The independent variable, $x$, represents the total hours driven, and the dependent variable is the gallons of gas remaining in the tank, because the gallons of gas remaining in the tank depends on the total hours driven.
A function relating these variables is $D(x)=13 - 1.5x$.
So $D(4)=7$, meaning 4 hours of driving results in 7 gallons of gas remaining in the tank.