Question

officers of a recreation area are filling a small pond with water. they are adding water at a rate of 28 liters per minute. there are 700 liters in the pond to start. let w represent the total amount of water in the pond (in liters), and let t represent the total number of minutes that water has been added. write an equation relating w to t. then use this equation to find the total amount of water after 13 minutes.
equation:
total amount of water after 13 minutes: liters

Explanation:

Step1: Define the equation

The initial amount of water is 700 liters, and water is added at a rate of 28 liters per minute. So the total amount of water \( W \) after \( T \) minutes is given by the equation \( W = 700 + 28T \).

Step2: Substitute \( T = 13 \) into the equation

Substitute \( T = 13 \) into \( W = 700 + 28T \). First, calculate \( 28\times13 \). \( 28\times13 = 364 \). Then add this to the initial amount: \( W = 700 + 364 \).

Step3: Calculate the total

\( 700+364 = 1064 \).

Answer:

Equation: \( W = 700 + 28T \)
Total amount of water after 13 minutes: 1064 liters