Question

Bashir has 13 gallons of gas in his car at the beginning of a trip. Every hour Bashir drives, he uses 1.25 gallons of gas. What is the relationship between the gallons of gas remaining in the tank and the total hours driven?

Answer 1

The relationship between the gallons of gas remaining in the tank and the total hours driven is a linear function, where for each hour driven, 1.25 gallons of gas are used. The formula to calculate the gallons remaining is 13 - (1.25 × Total hours driven).

Step-by-step explanation:

Bashir starts with 13 gallons of gas in his car. For every hour that he drives, he uses 1.25 gallons of gas. Hence, the relationship between the gallons of gas remaining in the tank and the total hours driven can be expressed as a linear function: Gallons remaining = 13 - (1.25 × Total hours driven). If Bashir drives for t hours, we can calculate the gallons remaining by substituting t into the equation. Let's denote the number of gallons remaining as G and the total hours driven as t. The equation becomes G = 13 - 1.25t. This is a linear relationship where the slope of the line is -1.25, indicating that the number of gallons decreases by 1.25 for every additional hour driven.