Question

Adeem filled up his car with gas before embarking on a road trip across the country. The car uses 1.5 gallons of gas for every hour driven and the capacity of the gas tank is 15 gallons. Make a table of values and then write an equation for G, commaG, in terms of t, commat, representing the number of gallons of gas remaining in Kadeem's gas tank after tt hours of driving.

Number of Hours Driven Number of Gallons Remaining in the Tank
00
11
22
33

Answer 1

The equation in terms of t, representing the number of gallons of gas remaining in Kadeem's gas tank after t hours of driving is

G = 15 - 1.5t

Table of values representing the number of gallons of gas

Here is a table of values representing the number of gallons of gas remaining in Kadeem's gas tank after a certain number of hours driven:

Number of Hours Driven Number of Gallons Remaining in the Tank

0 15

1 13.5

2 12

3 10.5

To write an equation for the number of gallons of gas remaining in Kadeem's gas tank, G, in terms of the number of hours driven, t, observe the pattern in the table.

We can see that for every hour driven, the number of gallons remaining in the tank decreases by 1.5 gallons (since the car uses 1.5 gallons of gas for every hour driven).

Additionally, the initial number of gallons in the tank is 15.

Based on this pattern, we can write the equation:

G = 15 - 1.5t

Where:

G represents the number of gallons remaining in the gas tank.

t represents the number of hours driven.

This equation represents the relationship between the number of hours driven and the number of gallons of gas remaining in Kadeem's gas tank.