Question

owners of a recreation area are filling a small pond with water. they are adding water at a rate of 30 liters per minute. there are 700 liters in the pond to start.
let w represent the amount of water in the pond (in liters), and let t represent the number of minutes that water has been added.
(a) write an equation relating w to t.
equation:
(b) graph your equation using the axes below.
graph axes with w (900,800,700,600,500,400,300,200,100) and t (0 - 8) shown, along with graphing tools

Explanation:

Step1: Identify the initial amount and rate

The initial amount of water \( W_0 = 700 \) liters, and the rate of adding water is \( 30 \) liters per minute.

Step2: Form the linear equation

The amount of water \( W \) in the pond after \( T \) minutes is the initial amount plus the amount added in \( T \) minutes. The amount added in \( T \) minutes is \( 30T \) (since rate is 30 liters per minute). So the equation is \( W = 700 + 30T \).

Answer:

\( W = 30T + 700 \) (or \( W = 700 + 30T \))