Question

Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 29 L per minute. There are 400 L 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

Answer 1

In this problem, we have a linear equation of the form

W=mT+b ----> equation in slope-intercept form

where

m is the unit rate or slope of the linear equation

m=29 L/min ----> given

b is the initial value

b=400 L ----> given

substitute

W=29T+400 -------> equation relating W to T.

For T=13 min

substitute

W=29(13)+400

W=777 L

the total amount of water after 13 minutes is 777 L