Question

EspanolOwners of a recreation area are filling a small pond with water. They are adding water at a rate of 32 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 equationrelating W to T. Then use this equation to find the total amount of water after 19 minutes.Equation: 0хTotal amount of water after 19 minutes: [liters5?

Answer 1

We know that

• The rate is 32 liters per minute.

,

• There are 700 liters to start.

Notice that 700 liters are the initial condition of the problem, that means 700 is going to be the independent term of our linear equation. Additionally, the rate of 32 liters per minute is the coefficient of the x. So, the equation that models this situation is

`y=32x+700`

Now, to find the total amount of water after 19 minutes, we have to use x=19 in the equation

`y=32(19)+700=608+700=1308`

Therefore, after 19 minutes the total amount of water is 1,308 liters.