Question

jin has 9 gallons of gas in his car at the beginning of a trip. every hour jin drives, he uses 2 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 5
the independent variable x represents the and the dependent variable is the, because the depends on the.
a function relating these variables is h(x) =
so h(4) =, meaning 4

Explanation:

Step1: Identify Variables

The independent variable \( x \) represents the total hours driven. The dependent variable is the gallons of gas remaining, because the gallons of gas remaining depends on the total hours driven.

Step2: Formulate the Function

Initial gas is 9 gallons, and 2 gallons are used per hour. So the function \( H(x) \) (gallons remaining) is \( H(x) = 9 - 2x \).

Step3: Calculate \( H(4) \)

Substitute \( x = 4 \) into \( H(x) \): \( H(4) = 9 - 2(4) = 9 - 8 = 1 \). This means after 4 hours of driving, there is 1 gallon of gas remaining.

Answer:

The independent variable \( x \) represents the total hours driven and the dependent variable is the gallons of gas remaining, because the gallons of gas remaining depends on the total hours driven.
A function relating these variables is \( H(x) = 9 - 2x \).
So \( H(4) = 1 \), meaning 4 hours of driving, there is 1 gallon of gas remaining.