High School

A tank that currently contains 2500 gallons of oil is being emptied at a rate of 25 gallons per minute. The capacity of this tank is 3000 gallons.

Let \( c \) be the capacity of the tank, and \( t \) be the time in minutes.

Write an equation that relates the two quantities.

Answer :

Final answer:

To relate the tank's capacity with time, we use the equation c = 2500 - 25t, where c is the capacity of the tank in gallons and t is the time in minutes.

Explanation:

To relate the capacity of the tank (c) with the time (t), we can use the information given about the rate at which the tank is being emptied. We know that 25 gallons of oil are being emptied each minute. Since the tank originally contains 2500 gallons, we can write an equation that decreases the amount of oil in the tank over time.

The equation is: c = 2500 - 25t

Here, c is the capacity of the tank in gallons at any given time t, where t is the time in minutes. When t is 0 (at the beginning), c is 2500 gallons (the initial amount of oil in the tank).