Question

Problem

The formula for the remaining volume of fuel in a car's tank is I-E\cdot DI−E⋅DI, minus, E, dot, D, where III is the initial volume of fuel, EEE is the fuel efficiency, and DDD is the distance traveled.

Carson drove a distance of 120120120 kilometers. He initially had 303030 liters of fuel, and his car's fuel efficiency is 100100100 cubic centimeters per kilometer.

What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?

Answer 1

The estimated volume of fuel that remains in Carson's tank by the end of the drive is -11970 liters.

Step-by-step explanation:

To calculate the estimated volume of fuel that remains in Carson's tank by the end of the drive, we can use the formula for the remaining volume of fuel:

Remaining volume = Initial volume - (Fuel efficiency × Distance traveled)

Given that Carson initially had 30 liters of fuel, his car's fuel efficiency is 100 cubic centimeters per kilometer, and he drove a distance of 120 kilometers, we can substitute these values into the formula:

Remaining volume = 30 - (100 × 120)

Simplifying the expression, we get:

Remaining volume = 30 - 12000

Therefore, the estimated volume of fuel that remains in Carson's tank by the end of the drive is -11970 liters.